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Finding the Fourth Proportional to 8,111.60, 12,167.38 and 6,265.40

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Solution

The fourth proportional to 8,111.60, 12,167.38 and 6,265.40 is: 9,398.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.60 : 12,167.38 = 6,265.40 : x
  2. Step 2: Convert to fraction form
    8,111.60/12,167.38 = 6,265.40/x
  3. Step 3: Cross multiply
    8,111.60x = 12,167.38 × 6,265.40
  4. Step 4: Simplify right side
    8,111.60x = 76,233,502.65
  5. Step 5: Solve for x
    x = 76,233,502.65/8,111.60
  6. Step 6: Final answer
    x = 9,398.08

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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.