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Finding the Fourth Proportional to 10,949.34, 15,073.58 and 10,447.20

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Solution

The fourth proportional to 10,949.34, 15,073.58 and 10,447.20 is: 14,382.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,949.34 : 15,073.58 = 10,447.20 : x
  2. Step 2: Convert to fraction form
    10,949.34/15,073.58 = 10,447.20/x
  3. Step 3: Cross multiply
    10,949.34x = 15,073.58 × 10,447.20
  4. Step 4: Simplify right side
    10,949.34x = 157,476,704.98
  5. Step 5: Solve for x
    x = 157,476,704.98/10,949.34
  6. Step 6: Final answer
    x = 14,382.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.