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Finding the Fourth Proportional to 12,112.16, 16,715.07 and 6,806.84

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Solution

The fourth proportional to 12,112.16, 16,715.07 and 6,806.84 is: 9,393.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,112.16 : 16,715.07 = 6,806.84 : x
  2. Step 2: Convert to fraction form
    12,112.16/16,715.07 = 6,806.84/x
  3. Step 3: Cross multiply
    12,112.16x = 16,715.07 × 6,806.84
  4. Step 4: Simplify right side
    12,112.16x = 113,776,723.50
  5. Step 5: Solve for x
    x = 113,776,723.50/12,112.16
  6. Step 6: Final answer
    x = 9,393.60

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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.