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Finding the Fourth Proportional to 8,363.57, 12,534.42 and 3,427.43

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Solution

The fourth proportional to 8,363.57, 12,534.42 and 3,427.43 is: 5,136.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,363.57 : 12,534.42 = 3,427.43 : x
  2. Step 2: Convert to fraction form
    8,363.57/12,534.42 = 3,427.43/x
  3. Step 3: Cross multiply
    8,363.57x = 12,534.42 × 3,427.43
  4. Step 4: Simplify right side
    8,363.57x = 42,960,878.48
  5. Step 5: Solve for x
    x = 42,960,878.48/8,363.57
  6. Step 6: Final answer
    x = 5,136.67

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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.