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Finding the Fourth Proportional to 10,123.56, 15,186.06 and 3,198

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Solution

The fourth proportional to 10,123.56, 15,186.06 and 3,198 is: 4,797.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,123.56 : 15,186.06 = 3,198 : x
  2. Step 2: Convert to fraction form
    10,123.56/15,186.06 = 3,198/x
  3. Step 3: Cross multiply
    10,123.56x = 15,186.06 × 3,198
  4. Step 4: Simplify right side
    10,123.56x = 48,565,019.88
  5. Step 5: Solve for x
    x = 48,565,019.88/10,123.56
  6. Step 6: Final answer
    x = 4,797.23

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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.