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Finding the Fourth Proportional to 8,471.47, 11,692.58 and 5,638.96

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Solution

The fourth proportional to 8,471.47, 11,692.58 and 5,638.96 is: 7,783.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.47 : 11,692.58 = 5,638.96 : x
  2. Step 2: Convert to fraction form
    8,471.47/11,692.58 = 5,638.96/x
  3. Step 3: Cross multiply
    8,471.47x = 11,692.58 × 5,638.96
  4. Step 4: Simplify right side
    8,471.47x = 65,933,990.92
  5. Step 5: Solve for x
    x = 65,933,990.92/8,471.47
  6. Step 6: Final answer
    x = 7,783.06

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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.