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Finding the Fourth Proportional to 11,542.66, 17,315.66 and 3,642.49

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Solution

The fourth proportional to 11,542.66, 17,315.66 and 3,642.49 is: 5,464.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,542.66 : 17,315.66 = 3,642.49 : x
  2. Step 2: Convert to fraction form
    11,542.66/17,315.66 = 3,642.49/x
  3. Step 3: Cross multiply
    11,542.66x = 17,315.66 × 3,642.49
  4. Step 4: Simplify right side
    11,542.66x = 63,072,118.39
  5. Step 5: Solve for x
    x = 63,072,118.39/11,542.66
  6. Step 6: Final answer
    x = 5,464.26

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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.