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Finding the Fourth Proportional to 8,267.94, 12,399.24 and 2,720.00

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Solution

The fourth proportional to 8,267.94, 12,399.24 and 2,720.00 is: 4,079.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.94 : 12,399.24 = 2,720.00 : x
  2. Step 2: Convert to fraction form
    8,267.94/12,399.24 = 2,720.00/x
  3. Step 3: Cross multiply
    8,267.94x = 12,399.24 × 2,720.00
  4. Step 4: Simplify right side
    8,267.94x = 33,725,904.25
  5. Step 5: Solve for x
    x = 33,725,904.25/8,267.94
  6. Step 6: Final answer
    x = 4,079.12

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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.