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Finding the Fourth Proportional to 6,832.81, 10,239.31 and 3,710.17

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Solution

The fourth proportional to 6,832.81, 10,239.31 and 3,710.17 is: 5,559.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.81 : 10,239.31 = 3,710.17 : x
  2. Step 2: Convert to fraction form
    6,832.81/10,239.31 = 3,710.17/x
  3. Step 3: Cross multiply
    6,832.81x = 10,239.31 × 3,710.17
  4. Step 4: Simplify right side
    6,832.81x = 37,989,580.78
  5. Step 5: Solve for x
    x = 37,989,580.78/6,832.81
  6. Step 6: Final answer
    x = 5,559.88

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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.