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Finding the Fourth Proportional to 8,691.32, 11,993.72 and 5,152.44

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Solution

The fourth proportional to 8,691.32, 11,993.72 and 5,152.44 is: 7,110.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,691.32 : 11,993.72 = 5,152.44 : x
  2. Step 2: Convert to fraction form
    8,691.32/11,993.72 = 5,152.44/x
  3. Step 3: Cross multiply
    8,691.32x = 11,993.72 × 5,152.44
  4. Step 4: Simplify right side
    8,691.32x = 61,796,922.68
  5. Step 5: Solve for x
    x = 61,796,922.68/8,691.32
  6. Step 6: Final answer
    x = 7,110.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.