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Finding the Fourth Proportional to 8,103.11, 12,155.54 and 2,260.17

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Solution

The fourth proportional to 8,103.11, 12,155.54 and 2,260.17 is: 3,390.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103.11 : 12,155.54 = 2,260.17 : x
  2. Step 2: Convert to fraction form
    8,103.11/12,155.54 = 2,260.17/x
  3. Step 3: Cross multiply
    8,103.11x = 12,155.54 × 2,260.17
  4. Step 4: Simplify right side
    8,103.11x = 27,473,575.54
  5. Step 5: Solve for x
    x = 27,473,575.54/8,103.11
  6. Step 6: Final answer
    x = 3,390.50

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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.