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Finding the Fourth Proportional to 8,081.78, 12,117.72 and 3,145.68

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Solution

The fourth proportional to 8,081.78, 12,117.72 and 3,145.68 is: 4,716.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,081.78 : 12,117.72 = 3,145.68 : x
  2. Step 2: Convert to fraction form
    8,081.78/12,117.72 = 3,145.68/x
  3. Step 3: Cross multiply
    8,081.78x = 12,117.72 × 3,145.68
  4. Step 4: Simplify right side
    8,081.78x = 38,118,469.45
  5. Step 5: Solve for x
    x = 38,118,469.45/8,081.78
  6. Step 6: Final answer
    x = 4,716.59

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