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Finding the Fourth Proportional to 12,641.25, 18,961.88 and 3,876.11

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Solution

The fourth proportional to 12,641.25, 18,961.88 and 3,876.11 is: 5,814.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,641.25 : 18,961.88 = 3,876.11 : x
  2. Step 2: Convert to fraction form
    12,641.25/18,961.88 = 3,876.11/x
  3. Step 3: Cross multiply
    12,641.25x = 18,961.88 × 3,876.11
  4. Step 4: Simplify right side
    12,641.25x = 73,498,218.50
  5. Step 5: Solve for x
    x = 73,498,218.50/12,641.25
  6. Step 6: Final answer
    x = 5,814.16

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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.