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Finding the Fourth Proportional to 11,813.88, 16,302.81 and 6,781.08

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Solution

The fourth proportional to 11,813.88, 16,302.81 and 6,781.08 is: 9,357.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,813.88 : 16,302.81 = 6,781.08 : x
  2. Step 2: Convert to fraction form
    11,813.88/16,302.81 = 6,781.08/x
  3. Step 3: Cross multiply
    11,813.88x = 16,302.81 × 6,781.08
  4. Step 4: Simplify right side
    11,813.88x = 110,550,658.83
  5. Step 5: Solve for x
    x = 110,550,658.83/11,813.88
  6. Step 6: Final answer
    x = 9,357.69

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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.