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Finding the Fourth Proportional to 8,513.20, 12,769.80 and 8,081.20

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Solution

The fourth proportional to 8,513.20, 12,769.80 and 8,081.20 is: 12,121.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,513.20 : 12,769.80 = 8,081.20 : x
  2. Step 2: Convert to fraction form
    8,513.20/12,769.80 = 8,081.20/x
  3. Step 3: Cross multiply
    8,513.20x = 12,769.80 × 8,081.20
  4. Step 4: Simplify right side
    8,513.20x = 103,195,307.76
  5. Step 5: Solve for x
    x = 103,195,307.76/8,513.20
  6. Step 6: Final answer
    x = 12,121.80

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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.