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Finding the Fourth Proportional to 11,648.42, 17,472.24 and 3,328.43

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Solution

The fourth proportional to 11,648.42, 17,472.24 and 3,328.43 is: 4,992.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.42 : 17,472.24 = 3,328.43 : x
  2. Step 2: Convert to fraction form
    11,648.42/17,472.24 = 3,328.43/x
  3. Step 3: Cross multiply
    11,648.42x = 17,472.24 × 3,328.43
  4. Step 4: Simplify right side
    11,648.42x = 58,155,040.42
  5. Step 5: Solve for x
    x = 58,155,040.42/11,648.42
  6. Step 6: Final answer
    x = 4,992.53

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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.