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Finding the Fourth Proportional to 10,256.26, 15,354.87 and 9,187.78

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Solution

The fourth proportional to 10,256.26, 15,354.87 and 9,187.78 is: 13,755.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.26 : 15,354.87 = 9,187.78 : x
  2. Step 2: Convert to fraction form
    10,256.26/15,354.87 = 9,187.78/x
  3. Step 3: Cross multiply
    10,256.26x = 15,354.87 × 9,187.78
  4. Step 4: Simplify right side
    10,256.26x = 141,077,167.49
  5. Step 5: Solve for x
    x = 141,077,167.49/10,256.26
  6. Step 6: Final answer
    x = 13,755.23

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