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Finding the Fourth Proportional to 8,447.28, 11,639.88 and 6,457.92

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Solution

The fourth proportional to 8,447.28, 11,639.88 and 6,457.92 is: 8,898.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.28 : 11,639.88 = 6,457.92 : x
  2. Step 2: Convert to fraction form
    8,447.28/11,639.88 = 6,457.92/x
  3. Step 3: Cross multiply
    8,447.28x = 11,639.88 × 6,457.92
  4. Step 4: Simplify right side
    8,447.28x = 75,169,413.85
  5. Step 5: Solve for x
    x = 75,169,413.85/8,447.28
  6. Step 6: Final answer
    x = 8,898.65

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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.