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Finding the Fourth Proportional to 11,693.06, 16,136.78 and 6,388.22

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Solution

The fourth proportional to 11,693.06, 16,136.78 and 6,388.22 is: 8,815.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.06 : 16,136.78 = 6,388.22 : x
  2. Step 2: Convert to fraction form
    11,693.06/16,136.78 = 6,388.22/x
  3. Step 3: Cross multiply
    11,693.06x = 16,136.78 × 6,388.22
  4. Step 4: Simplify right side
    11,693.06x = 103,085,188.11
  5. Step 5: Solve for x
    x = 103,085,188.11/11,693.06
  6. Step 6: Final answer
    x = 8,815.93

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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.