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Finding the Fourth Proportional to 27,335.60, 41,001 and 7,612.88

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Solution

The fourth proportional to 27,335.60, 41,001 and 7,612.88 is: 11,418.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,335.60 : 41,001 = 7,612.88 : x
  2. Step 2: Convert to fraction form
    27,335.60/41,001 = 7,612.88/x
  3. Step 3: Cross multiply
    27,335.60x = 41,001 × 7,612.88
  4. Step 4: Simplify right side
    27,335.60x = 312,135,692.88
  5. Step 5: Solve for x
    x = 312,135,692.88/27,335.60
  6. Step 6: Final answer
    x = 11,418.65

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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.