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Finding the Fourth Proportional to 10,185.22, 15,257.03 and 5,244.49

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Solution

The fourth proportional to 10,185.22, 15,257.03 and 5,244.49 is: 7,856.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,185.22 : 15,257.03 = 5,244.49 : x
  2. Step 2: Convert to fraction form
    10,185.22/15,257.03 = 5,244.49/x
  3. Step 3: Cross multiply
    10,185.22x = 15,257.03 × 5,244.49
  4. Step 4: Simplify right side
    10,185.22x = 80,015,264.98
  5. Step 5: Solve for x
    x = 80,015,264.98/10,185.22
  6. Step 6: Final answer
    x = 7,856.02

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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.