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Finding the Fourth Proportional to 11,664.96, 16,095.84 and 6,696

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Solution

The fourth proportional to 11,664.96, 16,095.84 and 6,696 is: 9,239.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664.96 : 16,095.84 = 6,696 : x
  2. Step 2: Convert to fraction form
    11,664.96/16,095.84 = 6,696/x
  3. Step 3: Cross multiply
    11,664.96x = 16,095.84 × 6,696
  4. Step 4: Simplify right side
    11,664.96x = 107,777,744.64
  5. Step 5: Solve for x
    x = 107,777,744.64/11,664.96
  6. Step 6: Final answer
    x = 9,239.44

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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.