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Finding the Fourth Proportional to 8,942.38, 12,352.71 and 7,261.90

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Solution

The fourth proportional to 8,942.38, 12,352.71 and 7,261.90 is: 10,031.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,942.38 : 12,352.71 = 7,261.90 : x
  2. Step 2: Convert to fraction form
    8,942.38/12,352.71 = 7,261.90/x
  3. Step 3: Cross multiply
    8,942.38x = 12,352.71 × 7,261.90
  4. Step 4: Simplify right side
    8,942.38x = 89,704,144.75
  5. Step 5: Solve for x
    x = 89,704,144.75/8,942.38
  6. Step 6: Final answer
    x = 10,031.35

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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.