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Finding the Fourth Proportional to 10,224.98, 15,310.13 and 5,836.40

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Solution

The fourth proportional to 10,224.98, 15,310.13 and 5,836.40 is: 8,738.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.98 : 15,310.13 = 5,836.40 : x
  2. Step 2: Convert to fraction form
    10,224.98/15,310.13 = 5,836.40/x
  3. Step 3: Cross multiply
    10,224.98x = 15,310.13 × 5,836.40
  4. Step 4: Simplify right side
    10,224.98x = 89,355,937.00
  5. Step 5: Solve for x
    x = 89,355,937.00/10,224.98
  6. Step 6: Final answer
    x = 8,738.99

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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.