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Finding the Fourth Proportional to 10,589.90, 14,614.18 and 6,613.32

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Solution

The fourth proportional to 10,589.90, 14,614.18 and 6,613.32 is: 9,126.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.90 : 14,614.18 = 6,613.32 : x
  2. Step 2: Convert to fraction form
    10,589.90/14,614.18 = 6,613.32/x
  3. Step 3: Cross multiply
    10,589.90x = 14,614.18 × 6,613.32
  4. Step 4: Simplify right side
    10,589.90x = 96,648,248.88
  5. Step 5: Solve for x
    x = 96,648,248.88/10,589.90
  6. Step 6: Final answer
    x = 9,126.46

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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.