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Finding the Fourth Proportional to 8,742.38, 12,062.39 and 5,107.86

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Solution

The fourth proportional to 8,742.38, 12,062.39 and 5,107.86 is: 7,047.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742.38 : 12,062.39 = 5,107.86 : x
  2. Step 2: Convert to fraction form
    8,742.38/12,062.39 = 5,107.86/x
  3. Step 3: Cross multiply
    8,742.38x = 12,062.39 × 5,107.86
  4. Step 4: Simplify right side
    8,742.38x = 61,612,973.85
  5. Step 5: Solve for x
    x = 61,612,973.85/8,742.38
  6. Step 6: Final answer
    x = 7,047.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.