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Finding the Fourth Proportional to 11,677.92, 17,515 and 3,356.05

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Solution

The fourth proportional to 11,677.92, 17,515 and 3,356.05 is: 5,033.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.92 : 17,515 = 3,356.05 : x
  2. Step 2: Convert to fraction form
    11,677.92/17,515 = 3,356.05/x
  3. Step 3: Cross multiply
    11,677.92x = 17,515 × 3,356.05
  4. Step 4: Simplify right side
    11,677.92x = 58,781,215.75
  5. Step 5: Solve for x
    x = 58,781,215.75/11,677.92
  6. Step 6: Final answer
    x = 5,033.53

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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.