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Finding the Fourth Proportional to 6,863.58, 10,270.76 and 5,942.30

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Solution

The fourth proportional to 6,863.58, 10,270.76 and 5,942.30 is: 8,892.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.58 : 10,270.76 = 5,942.30 : x
  2. Step 2: Convert to fraction form
    6,863.58/10,270.76 = 5,942.30/x
  3. Step 3: Cross multiply
    6,863.58x = 10,270.76 × 5,942.30
  4. Step 4: Simplify right side
    6,863.58x = 61,031,937.15
  5. Step 5: Solve for x
    x = 61,031,937.15/6,863.58
  6. Step 6: Final answer
    x = 8,892.14

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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.