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Finding the Fourth Proportional to 11,767.18, 17,650.65 and 3,002

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Solution

The fourth proportional to 11,767.18, 17,650.65 and 3,002 is: 4,502.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.18 : 17,650.65 = 3,002 : x
  2. Step 2: Convert to fraction form
    11,767.18/17,650.65 = 3,002/x
  3. Step 3: Cross multiply
    11,767.18x = 17,650.65 × 3,002
  4. Step 4: Simplify right side
    11,767.18x = 52,987,251.30
  5. Step 5: Solve for x
    x = 52,987,251.30/11,767.18
  6. Step 6: Final answer
    x = 4,502.97

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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.