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Finding the Fourth Proportional to 6,692.45, 10,044.90 and 3,408

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Solution

The fourth proportional to 6,692.45, 10,044.90 and 3,408 is: 5,115.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,692.45 : 10,044.90 = 3,408 : x
  2. Step 2: Convert to fraction form
    6,692.45/10,044.90 = 3,408/x
  3. Step 3: Cross multiply
    6,692.45x = 10,044.90 × 3,408
  4. Step 4: Simplify right side
    6,692.45x = 34,233,019.20
  5. Step 5: Solve for x
    x = 34,233,019.20/6,692.45
  6. Step 6: Final answer
    x = 5,115.17

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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.