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Finding the Fourth Proportional to 11,969.81, 16,518.04 and 6,664.51

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Solution

The fourth proportional to 11,969.81, 16,518.04 and 6,664.51 is: 9,196.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.81 : 16,518.04 = 6,664.51 : x
  2. Step 2: Convert to fraction form
    11,969.81/16,518.04 = 6,664.51/x
  3. Step 3: Cross multiply
    11,969.81x = 16,518.04 × 6,664.51
  4. Step 4: Simplify right side
    11,969.81x = 110,084,684.23
  5. Step 5: Solve for x
    x = 110,084,684.23/11,969.81
  6. Step 6: Final answer
    x = 9,196.86

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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.