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Finding the Fourth Proportional to 10,704.89, 14,772.33 and 5,989.17

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Solution

The fourth proportional to 10,704.89, 14,772.33 and 5,989.17 is: 8,264.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.89 : 14,772.33 = 5,989.17 : x
  2. Step 2: Convert to fraction form
    10,704.89/14,772.33 = 5,989.17/x
  3. Step 3: Cross multiply
    10,704.89x = 14,772.33 × 5,989.17
  4. Step 4: Simplify right side
    10,704.89x = 88,473,995.67
  5. Step 5: Solve for x
    x = 88,473,995.67/10,704.89
  6. Step 6: Final answer
    x = 8,264.82

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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.