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Finding the Fourth Proportional to 8,471.32, 11,692.37 and 5,638.81

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Solution

The fourth proportional to 8,471.32, 11,692.37 and 5,638.81 is: 7,782.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.32 : 11,692.37 = 5,638.81 : x
  2. Step 2: Convert to fraction form
    8,471.32/11,692.37 = 5,638.81/x
  3. Step 3: Cross multiply
    8,471.32x = 11,692.37 × 5,638.81
  4. Step 4: Simplify right side
    8,471.32x = 65,931,052.88
  5. Step 5: Solve for x
    x = 65,931,052.88/8,471.32
  6. Step 6: Final answer
    x = 7,782.85

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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.