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Finding the Fourth Proportional to 10,514.28, 15,724.08 and 9,351.12

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Solution

The fourth proportional to 10,514.28, 15,724.08 and 9,351.12 is: 13,984.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.28 : 15,724.08 = 9,351.12 : x
  2. Step 2: Convert to fraction form
    10,514.28/15,724.08 = 9,351.12/x
  3. Step 3: Cross multiply
    10,514.28x = 15,724.08 × 9,351.12
  4. Step 4: Simplify right side
    10,514.28x = 147,037,758.97
  5. Step 5: Solve for x
    x = 147,037,758.97/10,514.28
  6. Step 6: Final answer
    x = 13,984.58

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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.