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Finding the Fourth Proportional to 11,809, 16,294.99 and 6,772.96

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Solution

The fourth proportional to 11,809, 16,294.99 and 6,772.96 is: 9,345.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809 : 16,294.99 = 6,772.96 : x
  2. Step 2: Convert to fraction form
    11,809/16,294.99 = 6,772.96/x
  3. Step 3: Cross multiply
    11,809x = 16,294.99 × 6,772.96
  4. Step 4: Simplify right side
    11,809x = 110,365,315.47
  5. Step 5: Solve for x
    x = 110,365,315.47/11,809
  6. Step 6: Final answer
    x = 9,345.86

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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.