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Finding the Fourth Proportional to 8,565.76, 12,852.96 and 6,107.68

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Solution

The fourth proportional to 8,565.76, 12,852.96 and 6,107.68 is: 9,164.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.76 : 12,852.96 = 6,107.68 : x
  2. Step 2: Convert to fraction form
    8,565.76/12,852.96 = 6,107.68/x
  3. Step 3: Cross multiply
    8,565.76x = 12,852.96 × 6,107.68
  4. Step 4: Simplify right side
    8,565.76x = 78,501,766.73
  5. Step 5: Solve for x
    x = 78,501,766.73/8,565.76
  6. Step 6: Final answer
    x = 9,164.60

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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.