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Finding the Fourth Proportional to 11,809.33, 16,296.98 and 6,504.16

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Solution

The fourth proportional to 11,809.33, 16,296.98 and 6,504.16 is: 8,975.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.33 : 16,296.98 = 6,504.16 : x
  2. Step 2: Convert to fraction form
    11,809.33/16,296.98 = 6,504.16/x
  3. Step 3: Cross multiply
    11,809.33x = 16,296.98 × 6,504.16
  4. Step 4: Simplify right side
    11,809.33x = 105,998,165.44
  5. Step 5: Solve for x
    x = 105,998,165.44/11,809.33
  6. Step 6: Final answer
    x = 8,975.80

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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.