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Finding the Fourth Proportional to 6,843.42, 10,257.03 and 3,142.53

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Solution

The fourth proportional to 6,843.42, 10,257.03 and 3,142.53 is: 4,710.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.42 : 10,257.03 = 3,142.53 : x
  2. Step 2: Convert to fraction form
    6,843.42/10,257.03 = 3,142.53/x
  3. Step 3: Cross multiply
    6,843.42x = 10,257.03 × 3,142.53
  4. Step 4: Simplify right side
    6,843.42x = 32,233,024.49
  5. Step 5: Solve for x
    x = 32,233,024.49/6,843.42
  6. Step 6: Final answer
    x = 4,710.08

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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.