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Finding the Fourth Proportional to 8,111.68, 11,195.85 and 5,125.61

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Solution

The fourth proportional to 8,111.68, 11,195.85 and 5,125.61 is: 7,074.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.68 : 11,195.85 = 5,125.61 : x
  2. Step 2: Convert to fraction form
    8,111.68/11,195.85 = 5,125.61/x
  3. Step 3: Cross multiply
    8,111.68x = 11,195.85 × 5,125.61
  4. Step 4: Simplify right side
    8,111.68x = 57,385,607.93
  5. Step 5: Solve for x
    x = 57,385,607.93/8,111.68
  6. Step 6: Final answer
    x = 7,074.44

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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.