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Finding the Fourth Proportional to 8,206.40, 12,311.76 and 2,363.48

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Solution

The fourth proportional to 8,206.40, 12,311.76 and 2,363.48 is: 3,545.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.40 : 12,311.76 = 2,363.48 : x
  2. Step 2: Convert to fraction form
    8,206.40/12,311.76 = 2,363.48/x
  3. Step 3: Cross multiply
    8,206.40x = 12,311.76 × 2,363.48
  4. Step 4: Simplify right side
    8,206.40x = 29,098,598.52
  5. Step 5: Solve for x
    x = 29,098,598.52/8,206.40
  6. Step 6: Final answer
    x = 3,545.84

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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.