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Finding the Fourth Proportional to 11,773.18, 17,642.49 and 5,921.74

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Solution

The fourth proportional to 11,773.18, 17,642.49 and 5,921.74 is: 8,873.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.18 : 17,642.49 = 5,921.74 : x
  2. Step 2: Convert to fraction form
    11,773.18/17,642.49 = 5,921.74/x
  3. Step 3: Cross multiply
    11,773.18x = 17,642.49 × 5,921.74
  4. Step 4: Simplify right side
    11,773.18x = 104,474,238.73
  5. Step 5: Solve for x
    x = 104,474,238.73/11,773.18
  6. Step 6: Final answer
    x = 8,873.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.