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Finding the Fourth Proportional to 11,438.86, 17,161.56 and 3,648.28

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Solution

The fourth proportional to 11,438.86, 17,161.56 and 3,648.28 is: 5,473.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,438.86 : 17,161.56 = 3,648.28 : x
  2. Step 2: Convert to fraction form
    11,438.86/17,161.56 = 3,648.28/x
  3. Step 3: Cross multiply
    11,438.86x = 17,161.56 × 3,648.28
  4. Step 4: Simplify right side
    11,438.86x = 62,610,176.12
  5. Step 5: Solve for x
    x = 62,610,176.12/11,438.86
  6. Step 6: Final answer
    x = 5,473.46

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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.