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Finding the Fourth Proportional to 11,734.16, 17,601.39 and 4,338.54

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Solution

The fourth proportional to 11,734.16, 17,601.39 and 4,338.54 is: 6,507.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,734.16 : 17,601.39 = 4,338.54 : x
  2. Step 2: Convert to fraction form
    11,734.16/17,601.39 = 4,338.54/x
  3. Step 3: Cross multiply
    11,734.16x = 17,601.39 × 4,338.54
  4. Step 4: Simplify right side
    11,734.16x = 76,364,334.57
  5. Step 5: Solve for x
    x = 76,364,334.57/11,734.16
  6. Step 6: Final answer
    x = 6,507.87

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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.