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Finding the Fourth Proportional to 10,758,675.88, 14,846,978.34 and 6,112,469.20

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Solution

The fourth proportional to 10,758,675.88, 14,846,978.34 and 6,112,469.20 is: 8,435,210.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,758,675.88 : 14,846,978.34 = 6,112,469.20 : x
  2. Step 2: Convert to fraction form
    10,758,675.88/14,846,978.34 = 6,112,469.20/x
  3. Step 3: Cross multiply
    10,758,675.88x = 14,846,978.34 × 6,112,469.20
  4. Step 4: Simplify right side
    10,758,675.88x = 90,751,697,816,317.12
  5. Step 5: Solve for x
    x = 90,751,697,816,317.12/10,758,675.88
  6. Step 6: Final answer
    x = 8,435,210.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.