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Finding the Fourth Proportional to 6,932.66, 10,400.02 and 2,549.80

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Solution

The fourth proportional to 6,932.66, 10,400.02 and 2,549.80 is: 3,825.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932.66 : 10,400.02 = 2,549.80 : x
  2. Step 2: Convert to fraction form
    6,932.66/10,400.02 = 2,549.80/x
  3. Step 3: Cross multiply
    6,932.66x = 10,400.02 × 2,549.80
  4. Step 4: Simplify right side
    6,932.66x = 26,517,938.62
  5. Step 5: Solve for x
    x = 26,517,938.62/6,932.66
  6. Step 6: Final answer
    x = 3,825.07

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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.