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Finding the Fourth Proportional to 10,463.01, 15,692.09 and 3,892.29

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Solution

The fourth proportional to 10,463.01, 15,692.09 and 3,892.29 is: 5,837.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.01 : 15,692.09 = 3,892.29 : x
  2. Step 2: Convert to fraction form
    10,463.01/15,692.09 = 3,892.29/x
  3. Step 3: Cross multiply
    10,463.01x = 15,692.09 × 3,892.29
  4. Step 4: Simplify right side
    10,463.01x = 61,078,145.52
  5. Step 5: Solve for x
    x = 61,078,145.52/10,463.01
  6. Step 6: Final answer
    x = 5,837.53

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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.