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Finding the Fourth Proportional to 10,124, 15,186.24 and 3,968

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Solution

The fourth proportional to 10,124, 15,186.24 and 3,968 is: 5,952.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,124 : 15,186.24 = 3,968 : x
  2. Step 2: Convert to fraction form
    10,124/15,186.24 = 3,968/x
  3. Step 3: Cross multiply
    10,124x = 15,186.24 × 3,968
  4. Step 4: Simplify right side
    10,124x = 60,259,000.32
  5. Step 5: Solve for x
    x = 60,259,000.32/10,124
  6. Step 6: Final answer
    x = 5,952.09

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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.