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Finding the Fourth Proportional to 8,613.60, 11,887.24 and 6,514.08

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Solution

The fourth proportional to 8,613.60, 11,887.24 and 6,514.08 is: 8,989.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,613.60 : 11,887.24 = 6,514.08 : x
  2. Step 2: Convert to fraction form
    8,613.60/11,887.24 = 6,514.08/x
  3. Step 3: Cross multiply
    8,613.60x = 11,887.24 × 6,514.08
  4. Step 4: Simplify right side
    8,613.60x = 77,434,432.34
  5. Step 5: Solve for x
    x = 77,434,432.34/8,613.60
  6. Step 6: Final answer
    x = 8,989.79

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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.