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Finding the Fourth Proportional to 8,037.50, 12,057.41 and 2,491.28

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Solution

The fourth proportional to 8,037.50, 12,057.41 and 2,491.28 is: 3,737.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037.50 : 12,057.41 = 2,491.28 : x
  2. Step 2: Convert to fraction form
    8,037.50/12,057.41 = 2,491.28/x
  3. Step 3: Cross multiply
    8,037.50x = 12,057.41 × 2,491.28
  4. Step 4: Simplify right side
    8,037.50x = 30,038,395.44
  5. Step 5: Solve for x
    x = 30,038,395.44/8,037.50
  6. Step 6: Final answer
    x = 3,737.28

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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.