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Finding the Fourth Proportional to 12,112.98, 16,716.15 and 6,808.14

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Solution

The fourth proportional to 12,112.98, 16,716.15 and 6,808.14 is: 9,395.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,112.98 : 16,716.15 = 6,808.14 : x
  2. Step 2: Convert to fraction form
    12,112.98/16,716.15 = 6,808.14/x
  3. Step 3: Cross multiply
    12,112.98x = 16,716.15 × 6,808.14
  4. Step 4: Simplify right side
    12,112.98x = 113,805,889.46
  5. Step 5: Solve for x
    x = 113,805,889.46/12,112.98
  6. Step 6: Final answer
    x = 9,395.37

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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.