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Finding the Fourth Proportional to 8,140.69, 12,211.51 and 3,143.09

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Solution

The fourth proportional to 8,140.69, 12,211.51 and 3,143.09 is: 4,714.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.69 : 12,211.51 = 3,143.09 : x
  2. Step 2: Convert to fraction form
    8,140.69/12,211.51 = 3,143.09/x
  3. Step 3: Cross multiply
    8,140.69x = 12,211.51 × 3,143.09
  4. Step 4: Simplify right side
    8,140.69x = 38,381,874.97
  5. Step 5: Solve for x
    x = 38,381,874.97/8,140.69
  6. Step 6: Final answer
    x = 4,714.82

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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.