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Finding the Fourth Proportional to 11,772.08, 16,244.93 and 6,466.97

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Solution

The fourth proportional to 11,772.08, 16,244.93 and 6,466.97 is: 8,924.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.08 : 16,244.93 = 6,466.97 : x
  2. Step 2: Convert to fraction form
    11,772.08/16,244.93 = 6,466.97/x
  3. Step 3: Cross multiply
    11,772.08x = 16,244.93 × 6,466.97
  4. Step 4: Simplify right side
    11,772.08x = 105,055,409.90
  5. Step 5: Solve for x
    x = 105,055,409.90/11,772.08
  6. Step 6: Final answer
    x = 8,924.12

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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.