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Finding the Fourth Proportional to 10,280.79, 15,382.31 and 9,658.71

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Solution

The fourth proportional to 10,280.79, 15,382.31 and 9,658.71 is: 14,451.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,280.79 : 15,382.31 = 9,658.71 : x
  2. Step 2: Convert to fraction form
    10,280.79/15,382.31 = 9,658.71/x
  3. Step 3: Cross multiply
    10,280.79x = 15,382.31 × 9,658.71
  4. Step 4: Simplify right side
    10,280.79x = 148,573,223.13
  5. Step 5: Solve for x
    x = 148,573,223.13/10,280.79
  6. Step 6: Final answer
    x = 14,451.54

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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.