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Finding the Fourth Proportional to 10,361.57, 15,542.15 and 2,965.98

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Solution

The fourth proportional to 10,361.57, 15,542.15 and 2,965.98 is: 4,448.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,361.57 : 15,542.15 = 2,965.98 : x
  2. Step 2: Convert to fraction form
    10,361.57/15,542.15 = 2,965.98/x
  3. Step 3: Cross multiply
    10,361.57x = 15,542.15 × 2,965.98
  4. Step 4: Simplify right side
    10,361.57x = 46,097,691.23
  5. Step 5: Solve for x
    x = 46,097,691.23/10,361.57
  6. Step 6: Final answer
    x = 4,448.91

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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.