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Finding the Fourth Proportional to 8,714.72, 12,029.40 and 5,177.91

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Solution

The fourth proportional to 8,714.72, 12,029.40 and 5,177.91 is: 7,147.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.72 : 12,029.40 = 5,177.91 : x
  2. Step 2: Convert to fraction form
    8,714.72/12,029.40 = 5,177.91/x
  3. Step 3: Cross multiply
    8,714.72x = 12,029.40 × 5,177.91
  4. Step 4: Simplify right side
    8,714.72x = 62,287,150.55
  5. Step 5: Solve for x
    x = 62,287,150.55/8,714.72
  6. Step 6: Final answer
    x = 7,147.35

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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.