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Finding the Fourth Proportional to 8,391.76, 11,634.46 and 7,925.20

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Solution

The fourth proportional to 8,391.76, 11,634.46 and 7,925.20 is: 10,987.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,391.76 : 11,634.46 = 7,925.20 : x
  2. Step 2: Convert to fraction form
    8,391.76/11,634.46 = 7,925.20/x
  3. Step 3: Cross multiply
    8,391.76x = 11,634.46 × 7,925.20
  4. Step 4: Simplify right side
    8,391.76x = 92,205,422.39
  5. Step 5: Solve for x
    x = 92,205,422.39/8,391.76
  6. Step 6: Final answer
    x = 10,987.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.