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Finding the Fourth Proportional to 8,510.80, 12,769.80 and 5,393.20

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Solution

The fourth proportional to 8,510.80, 12,769.80 and 5,393.20 is: 8,092.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.80 : 12,769.80 = 5,393.20 : x
  2. Step 2: Convert to fraction form
    8,510.80/12,769.80 = 5,393.20/x
  3. Step 3: Cross multiply
    8,510.80x = 12,769.80 × 5,393.20
  4. Step 4: Simplify right side
    8,510.80x = 68,870,085.36
  5. Step 5: Solve for x
    x = 68,870,085.36/8,510.80
  6. Step 6: Final answer
    x = 8,092.08

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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.