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Finding the Fourth Proportional to 7,831.26, 10,808.52 and 4,687.44

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Solution

The fourth proportional to 7,831.26, 10,808.52 and 4,687.44 is: 6,469.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.26 : 10,808.52 = 4,687.44 : x
  2. Step 2: Convert to fraction form
    7,831.26/10,808.52 = 4,687.44/x
  3. Step 3: Cross multiply
    7,831.26x = 10,808.52 × 4,687.44
  4. Step 4: Simplify right side
    7,831.26x = 50,664,288.99
  5. Step 5: Solve for x
    x = 50,664,288.99/7,831.26
  6. Step 6: Final answer
    x = 6,469.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.