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Finding the Fourth Proportional to 8,138.80, 11,231.60 and 4,781.76

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Solution

The fourth proportional to 8,138.80, 11,231.60 and 4,781.76 is: 6,598.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.80 : 11,231.60 = 4,781.76 : x
  2. Step 2: Convert to fraction form
    8,138.80/11,231.60 = 4,781.76/x
  3. Step 3: Cross multiply
    8,138.80x = 11,231.60 × 4,781.76
  4. Step 4: Simplify right side
    8,138.80x = 53,706,815.62
  5. Step 5: Solve for x
    x = 53,706,815.62/8,138.80
  6. Step 6: Final answer
    x = 6,598.86

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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.