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Finding the Fourth Proportional to 11,657.25, 17,473.16 and 5,738.21

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Solution

The fourth proportional to 11,657.25, 17,473.16 and 5,738.21 is: 8,601.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.25 : 17,473.16 = 5,738.21 : x
  2. Step 2: Convert to fraction form
    11,657.25/17,473.16 = 5,738.21/x
  3. Step 3: Cross multiply
    11,657.25x = 17,473.16 × 5,738.21
  4. Step 4: Simplify right side
    11,657.25x = 100,264,632.75
  5. Step 5: Solve for x
    x = 100,264,632.75/11,657.25
  6. Step 6: Final answer
    x = 8,601.05

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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.