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Finding the Fourth Proportional to 10,622.88, 14,659.38 and 5,907.12

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Solution

The fourth proportional to 10,622.88, 14,659.38 and 5,907.12 is: 8,151.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.88 : 14,659.38 = 5,907.12 : x
  2. Step 2: Convert to fraction form
    10,622.88/14,659.38 = 5,907.12/x
  3. Step 3: Cross multiply
    10,622.88x = 14,659.38 × 5,907.12
  4. Step 4: Simplify right side
    10,622.88x = 86,594,716.79
  5. Step 5: Solve for x
    x = 86,594,716.79/10,622.88
  6. Step 6: Final answer
    x = 8,151.72

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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.