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Finding the Fourth Proportional to 11,542.74, 17,315.36 and 3,645.47

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Solution

The fourth proportional to 11,542.74, 17,315.36 and 3,645.47 is: 5,468.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,542.74 : 17,315.36 = 3,645.47 : x
  2. Step 2: Convert to fraction form
    11,542.74/17,315.36 = 3,645.47/x
  3. Step 3: Cross multiply
    11,542.74x = 17,315.36 × 3,645.47
  4. Step 4: Simplify right side
    11,542.74x = 63,122,664.15
  5. Step 5: Solve for x
    x = 63,122,664.15/11,542.74
  6. Step 6: Final answer
    x = 5,468.60

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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.