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Finding the Fourth Proportional to 11,535.25, 17,304.09 and 5,294.20

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Solution

The fourth proportional to 11,535.25, 17,304.09 and 5,294.20 is: 7,941.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,535.25 : 17,304.09 = 5,294.20 : x
  2. Step 2: Convert to fraction form
    11,535.25/17,304.09 = 5,294.20/x
  3. Step 3: Cross multiply
    11,535.25x = 17,304.09 × 5,294.20
  4. Step 4: Simplify right side
    11,535.25x = 91,611,313.28
  5. Step 5: Solve for x
    x = 91,611,313.28/11,535.25
  6. Step 6: Final answer
    x = 7,941.86

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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.