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Finding the Fourth Proportional to 8,462.68, 12,692.40 and 4,301.47

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Solution

The fourth proportional to 8,462.68, 12,692.40 and 4,301.47 is: 6,451.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.68 : 12,692.40 = 4,301.47 : x
  2. Step 2: Convert to fraction form
    8,462.68/12,692.40 = 4,301.47/x
  3. Step 3: Cross multiply
    8,462.68x = 12,692.40 × 4,301.47
  4. Step 4: Simplify right side
    8,462.68x = 54,595,977.56
  5. Step 5: Solve for x
    x = 54,595,977.56/8,462.68
  6. Step 6: Final answer
    x = 6,451.38

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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.