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Finding the Fourth Proportional to 8,714.64, 12,027.22 and 5,177.85

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Solution

The fourth proportional to 8,714.64, 12,027.22 and 5,177.85 is: 7,146.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.64 : 12,027.22 = 5,177.85 : x
  2. Step 2: Convert to fraction form
    8,714.64/12,027.22 = 5,177.85/x
  3. Step 3: Cross multiply
    8,714.64x = 12,027.22 × 5,177.85
  4. Step 4: Simplify right side
    8,714.64x = 62,275,141.08
  5. Step 5: Solve for x
    x = 62,275,141.08/8,714.64
  6. Step 6: Final answer
    x = 7,146.04

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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.