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Finding the Fourth Proportional to 10,589.64, 14,613.48 and 5,873.88

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Solution

The fourth proportional to 10,589.64, 14,613.48 and 5,873.88 is: 8,105.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.64 : 14,613.48 = 5,873.88 : x
  2. Step 2: Convert to fraction form
    10,589.64/14,613.48 = 5,873.88/x
  3. Step 3: Cross multiply
    10,589.64x = 14,613.48 × 5,873.88
  4. Step 4: Simplify right side
    10,589.64x = 85,837,827.90
  5. Step 5: Solve for x
    x = 85,837,827.90/10,589.64
  6. Step 6: Final answer
    x = 8,105.83

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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.