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Finding the Fourth Proportional to 11,658.25, 16,093.79 and 6,876.59

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Solution

The fourth proportional to 11,658.25, 16,093.79 and 6,876.59 is: 9,492.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.25 : 16,093.79 = 6,876.59 : x
  2. Step 2: Convert to fraction form
    11,658.25/16,093.79 = 6,876.59/x
  3. Step 3: Cross multiply
    11,658.25x = 16,093.79 × 6,876.59
  4. Step 4: Simplify right side
    11,658.25x = 110,670,306.31
  5. Step 5: Solve for x
    x = 110,670,306.31/11,658.25
  6. Step 6: Final answer
    x = 9,492.87

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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.