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Finding the Fourth Proportional to 27,511.95, 41,267.55 and 8,791.74

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Solution

The fourth proportional to 27,511.95, 41,267.55 and 8,791.74 is: 13,187.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,511.95 : 41,267.55 = 8,791.74 : x
  2. Step 2: Convert to fraction form
    27,511.95/41,267.55 = 8,791.74/x
  3. Step 3: Cross multiply
    27,511.95x = 41,267.55 × 8,791.74
  4. Step 4: Simplify right side
    27,511.95x = 362,813,570.04
  5. Step 5: Solve for x
    x = 362,813,570.04/27,511.95
  6. Step 6: Final answer
    x = 13,187.49

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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.