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Finding the Fourth Proportional to 11,908.26, 16,429.68 and 6,871.83

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Solution

The fourth proportional to 11,908.26, 16,429.68 and 6,871.83 is: 9,480.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,908.26 : 16,429.68 = 6,871.83 : x
  2. Step 2: Convert to fraction form
    11,908.26/16,429.68 = 6,871.83/x
  3. Step 3: Cross multiply
    11,908.26x = 16,429.68 × 6,871.83
  4. Step 4: Simplify right side
    11,908.26x = 112,901,967.91
  5. Step 5: Solve for x
    x = 112,901,967.91/11,908.26
  6. Step 6: Final answer
    x = 9,480.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.