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Finding the Fourth Proportional to 10,453.20, 15,682.20 and 3,057.48

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Solution

The fourth proportional to 10,453.20, 15,682.20 and 3,057.48 is: 4,586.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.20 : 15,682.20 = 3,057.48 : x
  2. Step 2: Convert to fraction form
    10,453.20/15,682.20 = 3,057.48/x
  3. Step 3: Cross multiply
    10,453.20x = 15,682.20 × 3,057.48
  4. Step 4: Simplify right side
    10,453.20x = 47,948,012.86
  5. Step 5: Solve for x
    x = 47,948,012.86/10,453.20
  6. Step 6: Final answer
    x = 4,586.92

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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.