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Finding the Fourth Proportional to 11,645.62, 16,072.68 and 6,866.44

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Solution

The fourth proportional to 11,645.62, 16,072.68 and 6,866.44 is: 9,476.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.62 : 16,072.68 = 6,866.44 : x
  2. Step 2: Convert to fraction form
    11,645.62/16,072.68 = 6,866.44/x
  3. Step 3: Cross multiply
    11,645.62x = 16,072.68 × 6,866.44
  4. Step 4: Simplify right side
    11,645.62x = 110,362,092.86
  5. Step 5: Solve for x
    x = 110,362,092.86/11,645.62
  6. Step 6: Final answer
    x = 9,476.70

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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.