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Finding the Fourth Proportional to 11,692.11, 16,122.84 and 7,708.13

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Solution

The fourth proportional to 11,692.11, 16,122.84 and 7,708.13 is: 10,629.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692.11 : 16,122.84 = 7,708.13 : x
  2. Step 2: Convert to fraction form
    11,692.11/16,122.84 = 7,708.13/x
  3. Step 3: Cross multiply
    11,692.11x = 16,122.84 × 7,708.13
  4. Step 4: Simplify right side
    11,692.11x = 124,276,866.08
  5. Step 5: Solve for x
    x = 124,276,866.08/11,692.11
  6. Step 6: Final answer
    x = 10,629.12

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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.