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Finding the Fourth Proportional to 6,873.28, 10,307 and 2,974.90

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Solution

The fourth proportional to 6,873.28, 10,307 and 2,974.90 is: 4,461.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873.28 : 10,307 = 2,974.90 : x
  2. Step 2: Convert to fraction form
    6,873.28/10,307 = 2,974.90/x
  3. Step 3: Cross multiply
    6,873.28x = 10,307 × 2,974.90
  4. Step 4: Simplify right side
    6,873.28x = 30,662,294.30
  5. Step 5: Solve for x
    x = 30,662,294.30/6,873.28
  6. Step 6: Final answer
    x = 4,461.09

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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.