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Finding the Fourth Proportional to 10,453.28, 15,682.16 and 3,057.17

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Solution

The fourth proportional to 10,453.28, 15,682.16 and 3,057.17 is: 4,586.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.28 : 15,682.16 = 3,057.17 : x
  2. Step 2: Convert to fraction form
    10,453.28/15,682.16 = 3,057.17/x
  3. Step 3: Cross multiply
    10,453.28x = 15,682.16 × 3,057.17
  4. Step 4: Simplify right side
    10,453.28x = 47,942,958.32
  5. Step 5: Solve for x
    x = 47,942,958.32/10,453.28
  6. Step 6: Final answer
    x = 4,586.41

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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.