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Finding the Fourth Proportional to 10,682.69, 16,029.77 and 5,488.56

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Solution

The fourth proportional to 10,682.69, 16,029.77 and 5,488.56 is: 8,235.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.69 : 16,029.77 = 5,488.56 : x
  2. Step 2: Convert to fraction form
    10,682.69/16,029.77 = 5,488.56/x
  3. Step 3: Cross multiply
    10,682.69x = 16,029.77 × 5,488.56
  4. Step 4: Simplify right side
    10,682.69x = 87,980,326.99
  5. Step 5: Solve for x
    x = 87,980,326.99/10,682.69
  6. Step 6: Final answer
    x = 8,235.79

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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.