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Finding the Fourth Proportional to 11,543.34, 17,304.12 and 5,616.48

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Solution

The fourth proportional to 11,543.34, 17,304.12 and 5,616.48 is: 8,419.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543.34 : 17,304.12 = 5,616.48 : x
  2. Step 2: Convert to fraction form
    11,543.34/17,304.12 = 5,616.48/x
  3. Step 3: Cross multiply
    11,543.34x = 17,304.12 × 5,616.48
  4. Step 4: Simplify right side
    11,543.34x = 97,188,243.90
  5. Step 5: Solve for x
    x = 97,188,243.90/11,543.34
  6. Step 6: Final answer
    x = 8,419.42

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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.