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Finding the Fourth Proportional to 10,131, 15,203.25 and 3,896.16

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Solution

The fourth proportional to 10,131, 15,203.25 and 3,896.16 is: 5,846.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,131 : 15,203.25 = 3,896.16 : x
  2. Step 2: Convert to fraction form
    10,131/15,203.25 = 3,896.16/x
  3. Step 3: Cross multiply
    10,131x = 15,203.25 × 3,896.16
  4. Step 4: Simplify right side
    10,131x = 59,234,294.52
  5. Step 5: Solve for x
    x = 59,234,294.52/10,131
  6. Step 6: Final answer
    x = 5,846.84

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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.