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Finding the Fourth Proportional to 7,309.20, 10,948.12 and 3,143.76

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Solution

The fourth proportional to 7,309.20, 10,948.12 and 3,143.76 is: 4,708.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.20 : 10,948.12 = 3,143.76 : x
  2. Step 2: Convert to fraction form
    7,309.20/10,948.12 = 3,143.76/x
  3. Step 3: Cross multiply
    7,309.20x = 10,948.12 × 3,143.76
  4. Step 4: Simplify right side
    7,309.20x = 34,418,261.73
  5. Step 5: Solve for x
    x = 34,418,261.73/7,309.20
  6. Step 6: Final answer
    x = 4,708.90

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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.