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Finding the Fourth Proportional to 8,402.18, 11,609.78 and 6,286.28

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Solution

The fourth proportional to 8,402.18, 11,609.78 and 6,286.28 is: 8,686.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.18 : 11,609.78 = 6,286.28 : x
  2. Step 2: Convert to fraction form
    8,402.18/11,609.78 = 6,286.28/x
  3. Step 3: Cross multiply
    8,402.18x = 11,609.78 × 6,286.28
  4. Step 4: Simplify right side
    8,402.18x = 72,982,238.34
  5. Step 5: Solve for x
    x = 72,982,238.34/8,402.18
  6. Step 6: Final answer
    x = 8,686.11

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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.