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Finding the Fourth Proportional to 10,398.17, 15,603.44 and 3,828.97

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Solution

The fourth proportional to 10,398.17, 15,603.44 and 3,828.97 is: 5,745.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.17 : 15,603.44 = 3,828.97 : x
  2. Step 2: Convert to fraction form
    10,398.17/15,603.44 = 3,828.97/x
  3. Step 3: Cross multiply
    10,398.17x = 15,603.44 × 3,828.97
  4. Step 4: Simplify right side
    10,398.17x = 59,745,103.66
  5. Step 5: Solve for x
    x = 59,745,103.66/10,398.17
  6. Step 6: Final answer
    x = 5,745.73

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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.