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Finding the Fourth Proportional to 8,309.82, 12,470.58 and 7,515.78

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Solution

The fourth proportional to 8,309.82, 12,470.58 and 7,515.78 is: 11,278.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.82 : 12,470.58 = 7,515.78 : x
  2. Step 2: Convert to fraction form
    8,309.82/12,470.58 = 7,515.78/x
  3. Step 3: Cross multiply
    8,309.82x = 12,470.58 × 7,515.78
  4. Step 4: Simplify right side
    8,309.82x = 93,726,135.75
  5. Step 5: Solve for x
    x = 93,726,135.75/8,309.82
  6. Step 6: Final answer
    x = 11,278.96

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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.