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Finding the Fourth Proportional to 6,863.40, 10,294.82 and 4,777.38

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Solution

The fourth proportional to 6,863.40, 10,294.82 and 4,777.38 is: 7,165.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.40 : 10,294.82 = 4,777.38 : x
  2. Step 2: Convert to fraction form
    6,863.40/10,294.82 = 4,777.38/x
  3. Step 3: Cross multiply
    6,863.40x = 10,294.82 × 4,777.38
  4. Step 4: Simplify right side
    6,863.40x = 49,182,267.17
  5. Step 5: Solve for x
    x = 49,182,267.17/6,863.40
  6. Step 6: Final answer
    x = 7,165.88

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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.