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Finding the Fourth Proportional to 8,522.09, 12,778.80 and 3,901.13

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Solution

The fourth proportional to 8,522.09, 12,778.80 and 3,901.13 is: 5,849.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522.09 : 12,778.80 = 3,901.13 : x
  2. Step 2: Convert to fraction form
    8,522.09/12,778.80 = 3,901.13/x
  3. Step 3: Cross multiply
    8,522.09x = 12,778.80 × 3,901.13
  4. Step 4: Simplify right side
    8,522.09x = 49,851,760.04
  5. Step 5: Solve for x
    x = 49,851,760.04/8,522.09
  6. Step 6: Final answer
    x = 5,849.71

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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.