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Finding the Fourth Proportional to 8,514.53, 12,771.67 and 3,831.23

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Solution

The fourth proportional to 8,514.53, 12,771.67 and 3,831.23 is: 5,746.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.53 : 12,771.67 = 3,831.23 : x
  2. Step 2: Convert to fraction form
    8,514.53/12,771.67 = 3,831.23/x
  3. Step 3: Cross multiply
    8,514.53x = 12,771.67 × 3,831.23
  4. Step 4: Simplify right side
    8,514.53x = 48,931,205.25
  5. Step 5: Solve for x
    x = 48,931,205.25/8,514.53
  6. Step 6: Final answer
    x = 5,746.79

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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.