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Finding the Fourth Proportional to 8,340.24, 11,507.71 and 4,982.55

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Solution

The fourth proportional to 8,340.24, 11,507.71 and 4,982.55 is: 6,874.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.24 : 11,507.71 = 4,982.55 : x
  2. Step 2: Convert to fraction form
    8,340.24/11,507.71 = 4,982.55/x
  3. Step 3: Cross multiply
    8,340.24x = 11,507.71 × 4,982.55
  4. Step 4: Simplify right side
    8,340.24x = 57,337,740.46
  5. Step 5: Solve for x
    x = 57,337,740.46/8,340.24
  6. Step 6: Final answer
    x = 6,874.83

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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.