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Finding the Fourth Proportional to 8,021.53, 12,037.16 and 3,404.53

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Solution

The fourth proportional to 8,021.53, 12,037.16 and 3,404.53 is: 5,108.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021.53 : 12,037.16 = 3,404.53 : x
  2. Step 2: Convert to fraction form
    8,021.53/12,037.16 = 3,404.53/x
  3. Step 3: Cross multiply
    8,021.53x = 12,037.16 × 3,404.53
  4. Step 4: Simplify right side
    8,021.53x = 40,980,876.74
  5. Step 5: Solve for x
    x = 40,980,876.74/8,021.53
  6. Step 6: Final answer
    x = 5,108.86

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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.