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Finding the Fourth Proportional to 10,149.28, 14,010.24 and 7,354.24

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Solution

The fourth proportional to 10,149.28, 14,010.24 and 7,354.24 is: 10,151.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.28 : 14,010.24 = 7,354.24 : x
  2. Step 2: Convert to fraction form
    10,149.28/14,010.24 = 7,354.24/x
  3. Step 3: Cross multiply
    10,149.28x = 14,010.24 × 7,354.24
  4. Step 4: Simplify right side
    10,149.28x = 103,034,667.42
  5. Step 5: Solve for x
    x = 103,034,667.42/10,149.28
  6. Step 6: Final answer
    x = 10,151.92

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