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Finding the Fourth Proportional to 11,772.68, 17,641.74 and 5,921.24

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Solution

The fourth proportional to 11,772.68, 17,641.74 and 5,921.24 is: 8,873.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.68 : 17,641.74 = 5,921.24 : x
  2. Step 2: Convert to fraction form
    11,772.68/17,641.74 = 5,921.24/x
  3. Step 3: Cross multiply
    11,772.68x = 17,641.74 × 5,921.24
  4. Step 4: Simplify right side
    11,772.68x = 104,460,976.56
  5. Step 5: Solve for x
    x = 104,460,976.56/11,772.68
  6. Step 6: Final answer
    x = 8,873.17

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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.