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Finding the Fourth Proportional to 8,267.40, 12,408.66 and 3,887.46

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Solution

The fourth proportional to 8,267.40, 12,408.66 and 3,887.46 is: 5,834.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.40 : 12,408.66 = 3,887.46 : x
  2. Step 2: Convert to fraction form
    8,267.40/12,408.66 = 3,887.46/x
  3. Step 3: Cross multiply
    8,267.40x = 12,408.66 × 3,887.46
  4. Step 4: Simplify right side
    8,267.40x = 48,238,169.40
  5. Step 5: Solve for x
    x = 48,238,169.40/8,267.40
  6. Step 6: Final answer
    x = 5,834.74

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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.