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Finding the Fourth Proportional to 10,589.89, 14,613.83 and 5,874.13

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Solution

The fourth proportional to 10,589.89, 14,613.83 and 5,874.13 is: 8,106.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.89 : 14,613.83 = 5,874.13 : x
  2. Step 2: Convert to fraction form
    10,589.89/14,613.83 = 5,874.13/x
  3. Step 3: Cross multiply
    10,589.89x = 14,613.83 × 5,874.13
  4. Step 4: Simplify right side
    10,589.89x = 85,843,507.85
  5. Step 5: Solve for x
    x = 85,843,507.85/10,589.89
  6. Step 6: Final answer
    x = 8,106.18

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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.