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Finding the Fourth Proportional to 8,257.95, 12,387.74 and 2,711.07

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Solution

The fourth proportional to 8,257.95, 12,387.74 and 2,711.07 is: 4,066.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.95 : 12,387.74 = 2,711.07 : x
  2. Step 2: Convert to fraction form
    8,257.95/12,387.74 = 2,711.07/x
  3. Step 3: Cross multiply
    8,257.95x = 12,387.74 × 2,711.07
  4. Step 4: Simplify right side
    8,257.95x = 33,584,016.73
  5. Step 5: Solve for x
    x = 33,584,016.73/8,257.95
  6. Step 6: Final answer
    x = 4,066.87

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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.