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Finding the Fourth Proportional to 11,701.84, 17,553.07 and 3,382.13

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Solution

The fourth proportional to 11,701.84, 17,553.07 and 3,382.13 is: 5,073.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.84 : 17,553.07 = 3,382.13 : x
  2. Step 2: Convert to fraction form
    11,701.84/17,553.07 = 3,382.13/x
  3. Step 3: Cross multiply
    11,701.84x = 17,553.07 × 3,382.13
  4. Step 4: Simplify right side
    11,701.84x = 59,366,764.64
  5. Step 5: Solve for x
    x = 59,366,764.64/11,701.84
  6. Step 6: Final answer
    x = 5,073.28

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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.