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Finding the Fourth Proportional to 8,211.50, 11,337.08 and 5,692.70

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Solution

The fourth proportional to 8,211.50, 11,337.08 and 5,692.70 is: 7,859.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.50 : 11,337.08 = 5,692.70 : x
  2. Step 2: Convert to fraction form
    8,211.50/11,337.08 = 5,692.70/x
  3. Step 3: Cross multiply
    8,211.50x = 11,337.08 × 5,692.70
  4. Step 4: Simplify right side
    8,211.50x = 64,538,595.32
  5. Step 5: Solve for x
    x = 64,538,595.32/8,211.50
  6. Step 6: Final answer
    x = 7,859.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.