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Finding the Fourth Proportional to 8,692.84, 13,024.14 and 5,408.29

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Solution

The fourth proportional to 8,692.84, 13,024.14 and 5,408.29 is: 8,103.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692.84 : 13,024.14 = 5,408.29 : x
  2. Step 2: Convert to fraction form
    8,692.84/13,024.14 = 5,408.29/x
  3. Step 3: Cross multiply
    8,692.84x = 13,024.14 × 5,408.29
  4. Step 4: Simplify right side
    8,692.84x = 70,438,326.12
  5. Step 5: Solve for x
    x = 70,438,326.12/8,692.84
  6. Step 6: Final answer
    x = 8,103.03

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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.