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Finding the Fourth Proportional to 10,232.31, 15,348 and 3,212.16

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Solution

The fourth proportional to 10,232.31, 15,348 and 3,212.16 is: 4,818.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232.31 : 15,348 = 3,212.16 : x
  2. Step 2: Convert to fraction form
    10,232.31/15,348 = 3,212.16/x
  3. Step 3: Cross multiply
    10,232.31x = 15,348 × 3,212.16
  4. Step 4: Simplify right side
    10,232.31x = 49,300,231.68
  5. Step 5: Solve for x
    x = 49,300,231.68/10,232.31
  6. Step 6: Final answer
    x = 4,818.09

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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.