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Finding the Fourth Proportional to 27,058.57, 40,591.67 and 8,340.12

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Solution

The fourth proportional to 27,058.57, 40,591.67 and 8,340.12 is: 12,511.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,058.57 : 40,591.67 = 8,340.12 : x
  2. Step 2: Convert to fraction form
    27,058.57/40,591.67 = 8,340.12/x
  3. Step 3: Cross multiply
    27,058.57x = 40,591.67 × 8,340.12
  4. Step 4: Simplify right side
    27,058.57x = 338,539,154.14
  5. Step 5: Solve for x
    x = 338,539,154.14/27,058.57
  6. Step 6: Final answer
    x = 12,511.35

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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.