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Finding the Fourth Proportional to 11,693.61, 16,136.96 and 6,388.25

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Solution

The fourth proportional to 11,693.61, 16,136.96 and 6,388.25 is: 8,815.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.61 : 16,136.96 = 6,388.25 : x
  2. Step 2: Convert to fraction form
    11,693.61/16,136.96 = 6,388.25/x
  3. Step 3: Cross multiply
    11,693.61x = 16,136.96 × 6,388.25
  4. Step 4: Simplify right side
    11,693.61x = 103,086,822.09
  5. Step 5: Solve for x
    x = 103,086,822.09/11,693.61
  6. Step 6: Final answer
    x = 8,815.65

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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.