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Finding the Fourth Proportional to 10,502.48, 15,753.72 and 9,860.96

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Solution

The fourth proportional to 10,502.48, 15,753.72 and 9,860.96 is: 14,791.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.48 : 15,753.72 = 9,860.96 : x
  2. Step 2: Convert to fraction form
    10,502.48/15,753.72 = 9,860.96/x
  3. Step 3: Cross multiply
    10,502.48x = 15,753.72 × 9,860.96
  4. Step 4: Simplify right side
    10,502.48x = 155,346,802.77
  5. Step 5: Solve for x
    x = 155,346,802.77/10,502.48
  6. Step 6: Final answer
    x = 14,791.44

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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.