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Finding the Fourth Proportional to 11,818.09, 16,309.11 and 7,832.08

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Solution

The fourth proportional to 11,818.09, 16,309.11 and 7,832.08 is: 10,808.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,818.09 : 16,309.11 = 7,832.08 : x
  2. Step 2: Convert to fraction form
    11,818.09/16,309.11 = 7,832.08/x
  3. Step 3: Cross multiply
    11,818.09x = 16,309.11 × 7,832.08
  4. Step 4: Simplify right side
    11,818.09x = 127,734,254.25
  5. Step 5: Solve for x
    x = 127,734,254.25/11,818.09
  6. Step 6: Final answer
    x = 10,808.37

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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.