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Finding the Fourth Proportional to 8,414.12, 12,607.22 and 5,117.24

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Solution

The fourth proportional to 8,414.12, 12,607.22 and 5,117.24 is: 7,667.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.12 : 12,607.22 = 5,117.24 : x
  2. Step 2: Convert to fraction form
    8,414.12/12,607.22 = 5,117.24/x
  3. Step 3: Cross multiply
    8,414.12x = 12,607.22 × 5,117.24
  4. Step 4: Simplify right side
    8,414.12x = 64,514,170.47
  5. Step 5: Solve for x
    x = 64,514,170.47/8,414.12
  6. Step 6: Final answer
    x = 7,667.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.