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Finding the Fourth Proportional to 7,978.32, 11,951.64 and 6,337.68

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Solution

The fourth proportional to 7,978.32, 11,951.64 and 6,337.68 is: 9,493.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.32 : 11,951.64 = 6,337.68 : x
  2. Step 2: Convert to fraction form
    7,978.32/11,951.64 = 6,337.68/x
  3. Step 3: Cross multiply
    7,978.32x = 11,951.64 × 6,337.68
  4. Step 4: Simplify right side
    7,978.32x = 75,745,669.80
  5. Step 5: Solve for x
    x = 75,745,669.80/7,978.32
  6. Step 6: Final answer
    x = 9,493.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.