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Finding the Fourth Proportional to 10,456.96, 15,682.12 and 3,435.34

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Solution

The fourth proportional to 10,456.96, 15,682.12 and 3,435.34 is: 5,151.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,456.96 : 15,682.12 = 3,435.34 : x
  2. Step 2: Convert to fraction form
    10,456.96/15,682.12 = 3,435.34/x
  3. Step 3: Cross multiply
    10,456.96x = 15,682.12 × 3,435.34
  4. Step 4: Simplify right side
    10,456.96x = 53,873,414.12
  5. Step 5: Solve for x
    x = 53,873,414.12/10,456.96
  6. Step 6: Final answer
    x = 5,151.92

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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.