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Finding the Fourth Proportional to 6,731.68, 10,097.52 and 3,220.86

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Solution

The fourth proportional to 6,731.68, 10,097.52 and 3,220.86 is: 4,831.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731.68 : 10,097.52 = 3,220.86 : x
  2. Step 2: Convert to fraction form
    6,731.68/10,097.52 = 3,220.86/x
  3. Step 3: Cross multiply
    6,731.68x = 10,097.52 × 3,220.86
  4. Step 4: Simplify right side
    6,731.68x = 32,522,647.78
  5. Step 5: Solve for x
    x = 32,522,647.78/6,731.68
  6. Step 6: Final answer
    x = 4,831.29

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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.