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Finding the Fourth Proportional to 6,841.71, 10,261.31 and 3,143.18

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Solution

The fourth proportional to 6,841.71, 10,261.31 and 3,143.18 is: 4,714.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.71 : 10,261.31 = 3,143.18 : x
  2. Step 2: Convert to fraction form
    6,841.71/10,261.31 = 3,143.18/x
  3. Step 3: Cross multiply
    6,841.71x = 10,261.31 × 3,143.18
  4. Step 4: Simplify right side
    6,841.71x = 32,253,077.34
  5. Step 5: Solve for x
    x = 32,253,077.34/6,841.71
  6. Step 6: Final answer
    x = 4,714.18

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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.