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Finding the Fourth Proportional to 10,647.44, 15,964.44 and 3,626.96

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Solution

The fourth proportional to 10,647.44, 15,964.44 and 3,626.96 is: 5,438.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.44 : 15,964.44 = 3,626.96 : x
  2. Step 2: Convert to fraction form
    10,647.44/15,964.44 = 3,626.96/x
  3. Step 3: Cross multiply
    10,647.44x = 15,964.44 × 3,626.96
  4. Step 4: Simplify right side
    10,647.44x = 57,902,385.30
  5. Step 5: Solve for x
    x = 57,902,385.30/10,647.44
  6. Step 6: Final answer
    x = 5,438.15

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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.