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Finding the Fourth Proportional to 7,692.74, 11,541.17 and 2,427.95

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Solution

The fourth proportional to 7,692.74, 11,541.17 and 2,427.95 is: 3,642.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.74 : 11,541.17 = 2,427.95 : x
  2. Step 2: Convert to fraction form
    7,692.74/11,541.17 = 2,427.95/x
  3. Step 3: Cross multiply
    7,692.74x = 11,541.17 × 2,427.95
  4. Step 4: Simplify right side
    7,692.74x = 28,021,366.24
  5. Step 5: Solve for x
    x = 28,021,366.24/7,692.74
  6. Step 6: Final answer
    x = 3,642.58

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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.