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Finding the Fourth Proportional to 8,630.38, 11,894.61 and 7,432.30

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Solution

The fourth proportional to 8,630.38, 11,894.61 and 7,432.30 is: 10,243.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,630.38 : 11,894.61 = 7,432.30 : x
  2. Step 2: Convert to fraction form
    8,630.38/11,894.61 = 7,432.30/x
  3. Step 3: Cross multiply
    8,630.38x = 11,894.61 × 7,432.30
  4. Step 4: Simplify right side
    8,630.38x = 88,404,309.90
  5. Step 5: Solve for x
    x = 88,404,309.90/8,630.38
  6. Step 6: Final answer
    x = 10,243.39

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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.