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Finding the Fourth Proportional to 10,589.80, 14,614.18 and 5,874.28

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Solution

The fourth proportional to 10,589.80, 14,614.18 and 5,874.28 is: 8,106.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.80 : 14,614.18 = 5,874.28 : x
  2. Step 2: Convert to fraction form
    10,589.80/14,614.18 = 5,874.28/x
  3. Step 3: Cross multiply
    10,589.80x = 14,614.18 × 5,874.28
  4. Step 4: Simplify right side
    10,589.80x = 85,847,785.29
  5. Step 5: Solve for x
    x = 85,847,785.29/10,589.80
  6. Step 6: Final answer
    x = 8,106.65

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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.