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Finding the Fourth Proportional to 8,534.72, 12,800.14 and 3,062.72

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Solution

The fourth proportional to 8,534.72, 12,800.14 and 3,062.72 is: 4,593.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.72 : 12,800.14 = 3,062.72 : x
  2. Step 2: Convert to fraction form
    8,534.72/12,800.14 = 3,062.72/x
  3. Step 3: Cross multiply
    8,534.72x = 12,800.14 × 3,062.72
  4. Step 4: Simplify right side
    8,534.72x = 39,203,244.78
  5. Step 5: Solve for x
    x = 39,203,244.78/8,534.72
  6. Step 6: Final answer
    x = 4,593.38

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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.