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Finding the Fourth Proportional to 27,132.78, 40,692.61 and 7,411.44

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Solution

The fourth proportional to 27,132.78, 40,692.61 and 7,411.44 is: 11,115.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,132.78 : 40,692.61 = 7,411.44 : x
  2. Step 2: Convert to fraction form
    27,132.78/40,692.61 = 7,411.44/x
  3. Step 3: Cross multiply
    27,132.78x = 40,692.61 × 7,411.44
  4. Step 4: Simplify right side
    27,132.78x = 301,590,837.46
  5. Step 5: Solve for x
    x = 301,590,837.46/27,132.78
  6. Step 6: Final answer
    x = 11,115.37

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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.