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Finding the Fourth Proportional to 11,489.80, 17,238.41 and 5,642.31

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Solution

The fourth proportional to 11,489.80, 17,238.41 and 5,642.31 is: 8,465.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,489.80 : 17,238.41 = 5,642.31 : x
  2. Step 2: Convert to fraction form
    11,489.80/17,238.41 = 5,642.31/x
  3. Step 3: Cross multiply
    11,489.80x = 17,238.41 × 5,642.31
  4. Step 4: Simplify right side
    11,489.80x = 97,264,467.23
  5. Step 5: Solve for x
    x = 97,264,467.23/11,489.80
  6. Step 6: Final answer
    x = 8,465.29

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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.