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Finding the Fourth Proportional to 8,021, 12,037.98 and 4,126.52

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Solution

The fourth proportional to 8,021, 12,037.98 and 4,126.52 is: 6,193.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021 : 12,037.98 = 4,126.52 : x
  2. Step 2: Convert to fraction form
    8,021/12,037.98 = 4,126.52/x
  3. Step 3: Cross multiply
    8,021x = 12,037.98 × 4,126.52
  4. Step 4: Simplify right side
    8,021x = 49,674,965.23
  5. Step 5: Solve for x
    x = 49,674,965.23/8,021
  6. Step 6: Final answer
    x = 6,193.11

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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.