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Finding the Fourth Proportional to 7,692.77, 11,536.43 and 2,426.20

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Solution

The fourth proportional to 7,692.77, 11,536.43 and 2,426.20 is: 3,638.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.77 : 11,536.43 = 2,426.20 : x
  2. Step 2: Convert to fraction form
    7,692.77/11,536.43 = 2,426.20/x
  3. Step 3: Cross multiply
    7,692.77x = 11,536.43 × 2,426.20
  4. Step 4: Simplify right side
    7,692.77x = 27,989,710.39
  5. Step 5: Solve for x
    x = 27,989,710.39/7,692.77
  6. Step 6: Final answer
    x = 3,638.44

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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.