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Finding the Fourth Proportional to 8,269.71, 11,413.20 and 4,732.84

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Solution

The fourth proportional to 8,269.71, 11,413.20 and 4,732.84 is: 6,531.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.71 : 11,413.20 = 4,732.84 : x
  2. Step 2: Convert to fraction form
    8,269.71/11,413.20 = 4,732.84/x
  3. Step 3: Cross multiply
    8,269.71x = 11,413.20 × 4,732.84
  4. Step 4: Simplify right side
    8,269.71x = 54,016,849.49
  5. Step 5: Solve for x
    x = 54,016,849.49/8,269.71
  6. Step 6: Final answer
    x = 6,531.89

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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.