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Finding the Fourth Proportional to 11,774.24, 17,661.36 and 7,394.77

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Solution

The fourth proportional to 11,774.24, 17,661.36 and 7,394.77 is: 11,092.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.24 : 17,661.36 = 7,394.77 : x
  2. Step 2: Convert to fraction form
    11,774.24/17,661.36 = 7,394.77/x
  3. Step 3: Cross multiply
    11,774.24x = 17,661.36 × 7,394.77
  4. Step 4: Simplify right side
    11,774.24x = 130,601,606.78
  5. Step 5: Solve for x
    x = 130,601,606.78/11,774.24
  6. Step 6: Final answer
    x = 11,092.15

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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.