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Finding the Fourth Proportional to 6,728.30, 10,089.21 and 2,345.66

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Solution

The fourth proportional to 6,728.30, 10,089.21 and 2,345.66 is: 3,517.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.30 : 10,089.21 = 2,345.66 : x
  2. Step 2: Convert to fraction form
    6,728.30/10,089.21 = 2,345.66/x
  3. Step 3: Cross multiply
    6,728.30x = 10,089.21 × 2,345.66
  4. Step 4: Simplify right side
    6,728.30x = 23,665,856.33
  5. Step 5: Solve for x
    x = 23,665,856.33/6,728.30
  6. Step 6: Final answer
    x = 3,517.36

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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.