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Finding the Fourth Proportional to 6,841.59, 10,262.51 and 3,142.81

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Solution

The fourth proportional to 6,841.59, 10,262.51 and 3,142.81 is: 4,714.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.59 : 10,262.51 = 3,142.81 : x
  2. Step 2: Convert to fraction form
    6,841.59/10,262.51 = 3,142.81/x
  3. Step 3: Cross multiply
    6,841.59x = 10,262.51 × 3,142.81
  4. Step 4: Simplify right side
    6,841.59x = 32,253,119.05
  5. Step 5: Solve for x
    x = 32,253,119.05/6,841.59
  6. Step 6: Final answer
    x = 4,714.27

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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.