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Finding the Fourth Proportional to 10,712.82, 16,069.02 and 5,792.10

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Solution

The fourth proportional to 10,712.82, 16,069.02 and 5,792.10 is: 8,688.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.82 : 16,069.02 = 5,792.10 : x
  2. Step 2: Convert to fraction form
    10,712.82/16,069.02 = 5,792.10/x
  3. Step 3: Cross multiply
    10,712.82x = 16,069.02 × 5,792.10
  4. Step 4: Simplify right side
    10,712.82x = 93,073,370.74
  5. Step 5: Solve for x
    x = 93,073,370.74/10,712.82
  6. Step 6: Final answer
    x = 8,688.04

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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.