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Finding the Fourth Proportional to 11,022.78, 16,528.74 and 7,692.62

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Solution

The fourth proportional to 11,022.78, 16,528.74 and 7,692.62 is: 11,535.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,022.78 : 16,528.74 = 7,692.62 : x
  2. Step 2: Convert to fraction form
    11,022.78/16,528.74 = 7,692.62/x
  3. Step 3: Cross multiply
    11,022.78x = 16,528.74 × 7,692.62
  4. Step 4: Simplify right side
    11,022.78x = 127,149,315.90
  5. Step 5: Solve for x
    x = 127,149,315.90/11,022.78
  6. Step 6: Final answer
    x = 11,535.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.