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Finding the Fourth Proportional to 6,878.34, 10,321.17 and 4,110.42

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Solution

The fourth proportional to 6,878.34, 10,321.17 and 4,110.42 is: 6,167.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.34 : 10,321.17 = 4,110.42 : x
  2. Step 2: Convert to fraction form
    6,878.34/10,321.17 = 4,110.42/x
  3. Step 3: Cross multiply
    6,878.34x = 10,321.17 × 4,110.42
  4. Step 4: Simplify right side
    6,878.34x = 42,424,343.59
  5. Step 5: Solve for x
    x = 42,424,343.59/6,878.34
  6. Step 6: Final answer
    x = 6,167.82

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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.