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Finding the Fourth Proportional to 6,831.68, 10,255.62 and 5,749.52

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Solution

The fourth proportional to 6,831.68, 10,255.62 and 5,749.52 is: 8,631.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.68 : 10,255.62 = 5,749.52 : x
  2. Step 2: Convert to fraction form
    6,831.68/10,255.62 = 5,749.52/x
  3. Step 3: Cross multiply
    6,831.68x = 10,255.62 × 5,749.52
  4. Step 4: Simplify right side
    6,831.68x = 58,964,892.30
  5. Step 5: Solve for x
    x = 58,964,892.30/6,831.68
  6. Step 6: Final answer
    x = 8,631.10

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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.