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Finding the Fourth Proportional to 8,691.32, 11,992.38 and 5,153.24

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Solution

The fourth proportional to 8,691.32, 11,992.38 and 5,153.24 is: 7,110.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,691.32 : 11,992.38 = 5,153.24 : x
  2. Step 2: Convert to fraction form
    8,691.32/11,992.38 = 5,153.24/x
  3. Step 3: Cross multiply
    8,691.32x = 11,992.38 × 5,153.24
  4. Step 4: Simplify right side
    8,691.32x = 61,799,612.31
  5. Step 5: Solve for x
    x = 61,799,612.31/8,691.32
  6. Step 6: Final answer
    x = 7,110.50

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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.