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Finding the Fourth Proportional to 11,616.94, 17,434.17 and 5,381.32

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Solution

The fourth proportional to 11,616.94, 17,434.17 and 5,381.32 is: 8,076.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.94 : 17,434.17 = 5,381.32 : x
  2. Step 2: Convert to fraction form
    11,616.94/17,434.17 = 5,381.32/x
  3. Step 3: Cross multiply
    11,616.94x = 17,434.17 × 5,381.32
  4. Step 4: Simplify right side
    11,616.94x = 93,818,820.80
  5. Step 5: Solve for x
    x = 93,818,820.80/11,616.94
  6. Step 6: Final answer
    x = 8,076.04

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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.