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Finding the Fourth Proportional to 12,111.18, 16,713.10 and 6,806.33

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Solution

The fourth proportional to 12,111.18, 16,713.10 and 6,806.33 is: 9,392.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,111.18 : 16,713.10 = 6,806.33 : x
  2. Step 2: Convert to fraction form
    12,111.18/16,713.10 = 6,806.33/x
  3. Step 3: Cross multiply
    12,111.18x = 16,713.10 × 6,806.33
  4. Step 4: Simplify right side
    12,111.18x = 113,754,873.92
  5. Step 5: Solve for x
    x = 113,754,873.92/12,111.18
  6. Step 6: Final answer
    x = 9,392.55

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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.