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Finding the Fourth Proportional to 8,692.72, 13,019 and 5,222.32

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Solution

The fourth proportional to 8,692.72, 13,019 and 5,222.32 is: 7,821.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692.72 : 13,019 = 5,222.32 : x
  2. Step 2: Convert to fraction form
    8,692.72/13,019 = 5,222.32/x
  3. Step 3: Cross multiply
    8,692.72x = 13,019 × 5,222.32
  4. Step 4: Simplify right side
    8,692.72x = 67,989,384.08
  5. Step 5: Solve for x
    x = 67,989,384.08/8,692.72
  6. Step 6: Final answer
    x = 7,821.42

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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.