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Finding the Fourth Proportional to 6,876.88, 10,294.18 and 4,414.07

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Solution

The fourth proportional to 6,876.88, 10,294.18 and 4,414.07 is: 6,607.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.88 : 10,294.18 = 4,414.07 : x
  2. Step 2: Convert to fraction form
    6,876.88/10,294.18 = 4,414.07/x
  3. Step 3: Cross multiply
    6,876.88x = 10,294.18 × 4,414.07
  4. Step 4: Simplify right side
    6,876.88x = 45,439,231.11
  5. Step 5: Solve for x
    x = 45,439,231.11/6,876.88
  6. Step 6: Final answer
    x = 6,607.54

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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.