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Finding the Fourth Proportional to 10,712.88, 16,071.49 and 3,792.24

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Solution

The fourth proportional to 10,712.88, 16,071.49 and 3,792.24 is: 5,689.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.88 : 16,071.49 = 3,792.24 : x
  2. Step 2: Convert to fraction form
    10,712.88/16,071.49 = 3,792.24/x
  3. Step 3: Cross multiply
    10,712.88x = 16,071.49 × 3,792.24
  4. Step 4: Simplify right side
    10,712.88x = 60,946,947.24
  5. Step 5: Solve for x
    x = 60,946,947.24/10,712.88
  6. Step 6: Final answer
    x = 5,689.13

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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.