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Finding the Fourth Proportional to 11,837.28, 17,739 and 8,692.62

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Solution

The fourth proportional to 11,837.28, 17,739 and 8,692.62 is: 13,026.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,837.28 : 17,739 = 8,692.62 : x
  2. Step 2: Convert to fraction form
    11,837.28/17,739 = 8,692.62/x
  3. Step 3: Cross multiply
    11,837.28x = 17,739 × 8,692.62
  4. Step 4: Simplify right side
    11,837.28x = 154,198,386.18
  5. Step 5: Solve for x
    x = 154,198,386.18/11,837.28
  6. Step 6: Final answer
    x = 13,026.50

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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.