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Finding the Fourth Proportional to 8,331.84, 12,499.56 and 5,882.40

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Solution

The fourth proportional to 8,331.84, 12,499.56 and 5,882.40 is: 8,824.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,331.84 : 12,499.56 = 5,882.40 : x
  2. Step 2: Convert to fraction form
    8,331.84/12,499.56 = 5,882.40/x
  3. Step 3: Cross multiply
    8,331.84x = 12,499.56 × 5,882.40
  4. Step 4: Simplify right side
    8,331.84x = 73,527,411.74
  5. Step 5: Solve for x
    x = 73,527,411.74/8,331.84
  6. Step 6: Final answer
    x = 8,824.87

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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.