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Finding the Fourth Proportional to 10,704.97, 14,772.87 and 5,989.25

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Solution

The fourth proportional to 10,704.97, 14,772.87 and 5,989.25 is: 8,265.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.97 : 14,772.87 = 5,989.25 : x
  2. Step 2: Convert to fraction form
    10,704.97/14,772.87 = 5,989.25/x
  3. Step 3: Cross multiply
    10,704.97x = 14,772.87 × 5,989.25
  4. Step 4: Simplify right side
    10,704.97x = 88,478,411.65
  5. Step 5: Solve for x
    x = 88,478,411.65/10,704.97
  6. Step 6: Final answer
    x = 8,265.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.