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Finding the Fourth Proportional to 11,647.17, 17,468.97 and 6,384.79

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Solution

The fourth proportional to 11,647.17, 17,468.97 and 6,384.79 is: 9,576.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.17 : 17,468.97 = 6,384.79 : x
  2. Step 2: Convert to fraction form
    11,647.17/17,468.97 = 6,384.79/x
  3. Step 3: Cross multiply
    11,647.17x = 17,468.97 × 6,384.79
  4. Step 4: Simplify right side
    11,647.17x = 111,535,726.80
  5. Step 5: Solve for x
    x = 111,535,726.80/11,647.17
  6. Step 6: Final answer
    x = 9,576.21

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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.