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Finding the Fourth Proportional to 6,831.01, 10,251.38 and 5,272.57

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Solution

The fourth proportional to 6,831.01, 10,251.38 and 5,272.57 is: 7,912.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.01 : 10,251.38 = 5,272.57 : x
  2. Step 2: Convert to fraction form
    6,831.01/10,251.38 = 5,272.57/x
  3. Step 3: Cross multiply
    6,831.01x = 10,251.38 × 5,272.57
  4. Step 4: Simplify right side
    6,831.01x = 54,051,118.65
  5. Step 5: Solve for x
    x = 54,051,118.65/6,831.01
  6. Step 6: Final answer
    x = 7,912.61

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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.