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Finding the Fourth Proportional to 10,792.47, 16,179.10 and 4,217.16

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Solution

The fourth proportional to 10,792.47, 16,179.10 and 4,217.16 is: 6,321.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,792.47 : 16,179.10 = 4,217.16 : x
  2. Step 2: Convert to fraction form
    10,792.47/16,179.10 = 4,217.16/x
  3. Step 3: Cross multiply
    10,792.47x = 16,179.10 × 4,217.16
  4. Step 4: Simplify right side
    10,792.47x = 68,229,853.36
  5. Step 5: Solve for x
    x = 68,229,853.36/10,792.47
  6. Step 6: Final answer
    x = 6,321.99

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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.