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Finding the Fourth Proportional to 7,343.87, 11,023.70 and 2,964.20

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Solution

The fourth proportional to 7,343.87, 11,023.70 and 2,964.20 is: 4,449.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,343.87 : 11,023.70 = 2,964.20 : x
  2. Step 2: Convert to fraction form
    7,343.87/11,023.70 = 2,964.20/x
  3. Step 3: Cross multiply
    7,343.87x = 11,023.70 × 2,964.20
  4. Step 4: Simplify right side
    7,343.87x = 32,676,381.60
  5. Step 5: Solve for x
    x = 32,676,381.60/7,343.87
  6. Step 6: Final answer
    x = 4,449.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.