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Finding the Fourth Proportional to 12,112.94, 16,716.34 and 6,807.74

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Solution

The fourth proportional to 12,112.94, 16,716.34 and 6,807.74 is: 9,394.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,112.94 : 16,716.34 = 6,807.74 : x
  2. Step 2: Convert to fraction form
    12,112.94/16,716.34 = 6,807.74/x
  3. Step 3: Cross multiply
    12,112.94x = 16,716.34 × 6,807.74
  4. Step 4: Simplify right side
    12,112.94x = 113,800,496.47
  5. Step 5: Solve for x
    x = 113,800,496.47/12,112.94
  6. Step 6: Final answer
    x = 9,394.95

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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.