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Finding the Fourth Proportional to 10,229.88, 15,333.90 and 5,294.58

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Solution

The fourth proportional to 10,229.88, 15,333.90 and 5,294.58 is: 7,936.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,229.88 : 15,333.90 = 5,294.58 : x
  2. Step 2: Convert to fraction form
    10,229.88/15,333.90 = 5,294.58/x
  3. Step 3: Cross multiply
    10,229.88x = 15,333.90 × 5,294.58
  4. Step 4: Simplify right side
    10,229.88x = 81,186,560.26
  5. Step 5: Solve for x
    x = 81,186,560.26/10,229.88
  6. Step 6: Final answer
    x = 7,936.22

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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.