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Finding the Fourth Proportional to 8,267.25, 12,393.81 and 2,719.11

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Solution

The fourth proportional to 8,267.25, 12,393.81 and 2,719.11 is: 4,076.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.25 : 12,393.81 = 2,719.11 : x
  2. Step 2: Convert to fraction form
    8,267.25/12,393.81 = 2,719.11/x
  3. Step 3: Cross multiply
    8,267.25x = 12,393.81 × 2,719.11
  4. Step 4: Simplify right side
    8,267.25x = 33,700,132.71
  5. Step 5: Solve for x
    x = 33,700,132.71/8,267.25
  6. Step 6: Final answer
    x = 4,076.34

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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.