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Finding the Fourth Proportional to 10,073.16, 15,109.88 and 3,499.49

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Solution

The fourth proportional to 10,073.16, 15,109.88 and 3,499.49 is: 5,249.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,073.16 : 15,109.88 = 3,499.49 : x
  2. Step 2: Convert to fraction form
    10,073.16/15,109.88 = 3,499.49/x
  3. Step 3: Cross multiply
    10,073.16x = 15,109.88 × 3,499.49
  4. Step 4: Simplify right side
    10,073.16x = 52,876,894.24
  5. Step 5: Solve for x
    x = 52,876,894.24/10,073.16
  6. Step 6: Final answer
    x = 5,249.29

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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.