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Finding the Fourth Proportional to 11,809.43, 16,296.88 and 6,504.13

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Solution

The fourth proportional to 11,809.43, 16,296.88 and 6,504.13 is: 8,975.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.43 : 16,296.88 = 6,504.13 : x
  2. Step 2: Convert to fraction form
    11,809.43/16,296.88 = 6,504.13/x
  3. Step 3: Cross multiply
    11,809.43x = 16,296.88 × 6,504.13
  4. Step 4: Simplify right side
    11,809.43x = 105,997,026.11
  5. Step 5: Solve for x
    x = 105,997,026.11/11,809.43
  6. Step 6: Final answer
    x = 8,975.63

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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.