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Finding the Fourth Proportional to 8,724.15, 13,027.14 and 6,854.27

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Solution

The fourth proportional to 8,724.15, 13,027.14 and 6,854.27 is: 10,234.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,724.15 : 13,027.14 = 6,854.27 : x
  2. Step 2: Convert to fraction form
    8,724.15/13,027.14 = 6,854.27/x
  3. Step 3: Cross multiply
    8,724.15x = 13,027.14 × 6,854.27
  4. Step 4: Simplify right side
    8,724.15x = 89,291,469.75
  5. Step 5: Solve for x
    x = 89,291,469.75/8,724.15
  6. Step 6: Final answer
    x = 10,234.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.