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Finding the Fourth Proportional to 8,545.09, 11,791.86 and 6,306.16

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Solution

The fourth proportional to 8,545.09, 11,791.86 and 6,306.16 is: 8,702.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,545.09 : 11,791.86 = 6,306.16 : x
  2. Step 2: Convert to fraction form
    8,545.09/11,791.86 = 6,306.16/x
  3. Step 3: Cross multiply
    8,545.09x = 11,791.86 × 6,306.16
  4. Step 4: Simplify right side
    8,545.09x = 74,361,355.86
  5. Step 5: Solve for x
    x = 74,361,355.86/8,545.09
  6. Step 6: Final answer
    x = 8,702.23

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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.