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Finding the Fourth Proportional to 11,645.14, 17,472.84 and 6,647.30

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Solution

The fourth proportional to 11,645.14, 17,472.84 and 6,647.30 is: 9,973.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.14 : 17,472.84 = 6,647.30 : x
  2. Step 2: Convert to fraction form
    11,645.14/17,472.84 = 6,647.30/x
  3. Step 3: Cross multiply
    11,645.14x = 17,472.84 × 6,647.30
  4. Step 4: Simplify right side
    11,645.14x = 116,147,209.33
  5. Step 5: Solve for x
    x = 116,147,209.33/11,645.14
  6. Step 6: Final answer
    x = 9,973.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.