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Finding the Fourth Proportional to 8,037, 12,061.98 and 4,142.52

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Solution

The fourth proportional to 8,037, 12,061.98 and 4,142.52 is: 6,217.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037 : 12,061.98 = 4,142.52 : x
  2. Step 2: Convert to fraction form
    8,037/12,061.98 = 4,142.52/x
  3. Step 3: Cross multiply
    8,037x = 12,061.98 × 4,142.52
  4. Step 4: Simplify right side
    8,037x = 49,966,993.39
  5. Step 5: Solve for x
    x = 49,966,993.39/8,037
  6. Step 6: Final answer
    x = 6,217.12

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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.