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Finding the Fourth Proportional to 8,344.16, 12,512.24 and 3,146.72

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Solution

The fourth proportional to 8,344.16, 12,512.24 and 3,146.72 is: 4,718.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344.16 : 12,512.24 = 3,146.72 : x
  2. Step 2: Convert to fraction form
    8,344.16/12,512.24 = 3,146.72/x
  3. Step 3: Cross multiply
    8,344.16x = 12,512.24 × 3,146.72
  4. Step 4: Simplify right side
    8,344.16x = 39,372,515.85
  5. Step 5: Solve for x
    x = 39,372,515.85/8,344.16
  6. Step 6: Final answer
    x = 4,718.57

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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.