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Finding the Fourth Proportional to 12,112.48, 16,711.17 and 6,806.17

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Solution

The fourth proportional to 12,112.48, 16,711.17 and 6,806.17 is: 9,390.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,112.48 : 16,711.17 = 6,806.17 : x
  2. Step 2: Convert to fraction form
    12,112.48/16,711.17 = 6,806.17/x
  3. Step 3: Cross multiply
    12,112.48x = 16,711.17 × 6,806.17
  4. Step 4: Simplify right side
    12,112.48x = 113,739,063.92
  5. Step 5: Solve for x
    x = 113,739,063.92/12,112.48
  6. Step 6: Final answer
    x = 9,390.24

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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.