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Finding the Fourth Proportional to 10,359.80, 15,540.30 and 2,964.80

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Solution

The fourth proportional to 10,359.80, 15,540.30 and 2,964.80 is: 4,447.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,359.80 : 15,540.30 = 2,964.80 : x
  2. Step 2: Convert to fraction form
    10,359.80/15,540.30 = 2,964.80/x
  3. Step 3: Cross multiply
    10,359.80x = 15,540.30 × 2,964.80
  4. Step 4: Simplify right side
    10,359.80x = 46,073,881.44
  5. Step 5: Solve for x
    x = 46,073,881.44/10,359.80
  6. Step 6: Final answer
    x = 4,447.37

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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.