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Finding the Fourth Proportional to 8,025, 12,037.92 and 2,760

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Solution

The fourth proportional to 8,025, 12,037.92 and 2,760 is: 4,140.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,025 : 12,037.92 = 2,760 : x
  2. Step 2: Convert to fraction form
    8,025/12,037.92 = 2,760/x
  3. Step 3: Cross multiply
    8,025x = 12,037.92 × 2,760
  4. Step 4: Simplify right side
    8,025x = 33,224,659.20
  5. Step 5: Solve for x
    x = 33,224,659.20/8,025
  6. Step 6: Final answer
    x = 4,140.14

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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.