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Finding the Fourth Proportional to 6,832.25, 10,250.81 and 3,371.93

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Solution

The fourth proportional to 6,832.25, 10,250.81 and 3,371.93 is: 5,059.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.25 : 10,250.81 = 3,371.93 : x
  2. Step 2: Convert to fraction form
    6,832.25/10,250.81 = 3,371.93/x
  3. Step 3: Cross multiply
    6,832.25x = 10,250.81 × 3,371.93
  4. Step 4: Simplify right side
    6,832.25x = 34,565,013.76
  5. Step 5: Solve for x
    x = 34,565,013.76/6,832.25
  6. Step 6: Final answer
    x = 5,059.10

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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.