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Finding the Fourth Proportional to 12,408.56, 18,613.08 and 5,831.12

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Solution

The fourth proportional to 12,408.56, 18,613.08 and 5,831.12 is: 8,746.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408.56 : 18,613.08 = 5,831.12 : x
  2. Step 2: Convert to fraction form
    12,408.56/18,613.08 = 5,831.12/x
  3. Step 3: Cross multiply
    12,408.56x = 18,613.08 × 5,831.12
  4. Step 4: Simplify right side
    12,408.56x = 108,535,103.05
  5. Step 5: Solve for x
    x = 108,535,103.05/12,408.56
  6. Step 6: Final answer
    x = 8,746.79

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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.