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Finding the Fourth Proportional to 10,512.06, 15,776.18 and 7,850.30

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Solution

The fourth proportional to 10,512.06, 15,776.18 and 7,850.30 is: 11,781.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.06 : 15,776.18 = 7,850.30 : x
  2. Step 2: Convert to fraction form
    10,512.06/15,776.18 = 7,850.30/x
  3. Step 3: Cross multiply
    10,512.06x = 15,776.18 × 7,850.30
  4. Step 4: Simplify right side
    10,512.06x = 123,847,745.85
  5. Step 5: Solve for x
    x = 123,847,745.85/10,512.06
  6. Step 6: Final answer
    x = 11,781.49

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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.