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Finding the Fourth Proportional to 11,187.44, 16,782.80 and 4,166.88

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Solution

The fourth proportional to 11,187.44, 16,782.80 and 4,166.88 is: 6,250.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,187.44 : 16,782.80 = 4,166.88 : x
  2. Step 2: Convert to fraction form
    11,187.44/16,782.80 = 4,166.88/x
  3. Step 3: Cross multiply
    11,187.44x = 16,782.80 × 4,166.88
  4. Step 4: Simplify right side
    11,187.44x = 69,931,913.66
  5. Step 5: Solve for x
    x = 69,931,913.66/11,187.44
  6. Step 6: Final answer
    x = 6,250.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.