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Finding the Fourth Proportional to 8,278.57, 11,422.11 and 7,863.04

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Solution

The fourth proportional to 8,278.57, 11,422.11 and 7,863.04 is: 10,848.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.57 : 11,422.11 = 7,863.04 : x
  2. Step 2: Convert to fraction form
    8,278.57/11,422.11 = 7,863.04/x
  3. Step 3: Cross multiply
    8,278.57x = 11,422.11 × 7,863.04
  4. Step 4: Simplify right side
    8,278.57x = 89,812,507.81
  5. Step 5: Solve for x
    x = 89,812,507.81/8,278.57
  6. Step 6: Final answer
    x = 10,848.79

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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.