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Finding the Fourth Proportional to 8,103.01, 12,150.13 and 3,655.48

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Solution

The fourth proportional to 8,103.01, 12,150.13 and 3,655.48 is: 5,481.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103.01 : 12,150.13 = 3,655.48 : x
  2. Step 2: Convert to fraction form
    8,103.01/12,150.13 = 3,655.48/x
  3. Step 3: Cross multiply
    8,103.01x = 12,150.13 × 3,655.48
  4. Step 4: Simplify right side
    8,103.01x = 44,414,502.88
  5. Step 5: Solve for x
    x = 44,414,502.88/8,103.01
  6. Step 6: Final answer
    x = 5,481.24

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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.