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Finding the Fourth Proportional to 11,542.80, 17,316.51 and 3,646.54

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Solution

The fourth proportional to 11,542.80, 17,316.51 and 3,646.54 is: 5,470.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,542.80 : 17,316.51 = 3,646.54 : x
  2. Step 2: Convert to fraction form
    11,542.80/17,316.51 = 3,646.54/x
  3. Step 3: Cross multiply
    11,542.80x = 17,316.51 × 3,646.54
  4. Step 4: Simplify right side
    11,542.80x = 63,145,241.56
  5. Step 5: Solve for x
    x = 63,145,241.56/11,542.80
  6. Step 6: Final answer
    x = 5,470.53

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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.