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Finding the Fourth Proportional to 8,842.75, 12,202.92 and 4,863.78

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Solution

The fourth proportional to 8,842.75, 12,202.92 and 4,863.78 is: 6,711.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,842.75 : 12,202.92 = 4,863.78 : x
  2. Step 2: Convert to fraction form
    8,842.75/12,202.92 = 4,863.78/x
  3. Step 3: Cross multiply
    8,842.75x = 12,202.92 × 4,863.78
  4. Step 4: Simplify right side
    8,842.75x = 59,352,318.24
  5. Step 5: Solve for x
    x = 59,352,318.24/8,842.75
  6. Step 6: Final answer
    x = 6,711.98

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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.