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Finding the Fourth Proportional to 10,137.30, 13,987 and 5,944.74

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Solution

The fourth proportional to 10,137.30, 13,987 and 5,944.74 is: 8,202.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137.30 : 13,987 = 5,944.74 : x
  2. Step 2: Convert to fraction form
    10,137.30/13,987 = 5,944.74/x
  3. Step 3: Cross multiply
    10,137.30x = 13,987 × 5,944.74
  4. Step 4: Simplify right side
    10,137.30x = 83,149,078.38
  5. Step 5: Solve for x
    x = 83,149,078.38/10,137.30
  6. Step 6: Final answer
    x = 8,202.29

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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.