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Finding the Fourth Proportional to 10,859.92, 16,291.09 and 3,462.66

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Solution

The fourth proportional to 10,859.92, 16,291.09 and 3,462.66 is: 5,194.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,859.92 : 16,291.09 = 3,462.66 : x
  2. Step 2: Convert to fraction form
    10,859.92/16,291.09 = 3,462.66/x
  3. Step 3: Cross multiply
    10,859.92x = 16,291.09 × 3,462.66
  4. Step 4: Simplify right side
    10,859.92x = 56,410,505.70
  5. Step 5: Solve for x
    x = 56,410,505.70/10,859.92
  6. Step 6: Final answer
    x = 5,194.38

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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.