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Finding the Fourth Proportional to 6,769.80, 10,162 and 5,686.02

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Solution

The fourth proportional to 6,769.80, 10,162 and 5,686.02 is: 8,535.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769.80 : 10,162 = 5,686.02 : x
  2. Step 2: Convert to fraction form
    6,769.80/10,162 = 5,686.02/x
  3. Step 3: Cross multiply
    6,769.80x = 10,162 × 5,686.02
  4. Step 4: Simplify right side
    6,769.80x = 57,781,335.24
  5. Step 5: Solve for x
    x = 57,781,335.24/6,769.80
  6. Step 6: Final answer
    x = 8,535.16

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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.