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Finding the Fourth Proportional to 11,767.28, 17,650.68 and 3,002

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Solution

The fourth proportional to 11,767.28, 17,650.68 and 3,002 is: 4,502.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.28 : 17,650.68 = 3,002 : x
  2. Step 2: Convert to fraction form
    11,767.28/17,650.68 = 3,002/x
  3. Step 3: Cross multiply
    11,767.28x = 17,650.68 × 3,002
  4. Step 4: Simplify right side
    11,767.28x = 52,987,341.36
  5. Step 5: Solve for x
    x = 52,987,341.36/11,767.28
  6. Step 6: Final answer
    x = 4,502.94

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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.