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Finding the Fourth Proportional to 11,616.60, 17,426.10 and 3,825.42

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Solution

The fourth proportional to 11,616.60, 17,426.10 and 3,825.42 is: 5,738.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.60 : 17,426.10 = 3,825.42 : x
  2. Step 2: Convert to fraction form
    11,616.60/17,426.10 = 3,825.42/x
  3. Step 3: Cross multiply
    11,616.60x = 17,426.10 × 3,825.42
  4. Step 4: Simplify right side
    11,616.60x = 66,662,151.46
  5. Step 5: Solve for x
    x = 66,662,151.46/11,616.60
  6. Step 6: Final answer
    x = 5,738.53

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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.