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Finding the Fourth Proportional to 7,831.72, 11,747.58 and 3,449.20

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Solution

The fourth proportional to 7,831.72, 11,747.58 and 3,449.20 is: 5,173.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.72 : 11,747.58 = 3,449.20 : x
  2. Step 2: Convert to fraction form
    7,831.72/11,747.58 = 3,449.20/x
  3. Step 3: Cross multiply
    7,831.72x = 11,747.58 × 3,449.20
  4. Step 4: Simplify right side
    7,831.72x = 40,519,752.94
  5. Step 5: Solve for x
    x = 40,519,752.94/7,831.72
  6. Step 6: Final answer
    x = 5,173.80

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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.