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Finding the Fourth Proportional to 8,266.46, 12,401.73 and 2,423.06

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Solution

The fourth proportional to 8,266.46, 12,401.73 and 2,423.06 is: 3,635.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.46 : 12,401.73 = 2,423.06 : x
  2. Step 2: Convert to fraction form
    8,266.46/12,401.73 = 2,423.06/x
  3. Step 3: Cross multiply
    8,266.46x = 12,401.73 × 2,423.06
  4. Step 4: Simplify right side
    8,266.46x = 30,050,196.97
  5. Step 5: Solve for x
    x = 30,050,196.97/8,266.46
  6. Step 6: Final answer
    x = 3,635.20

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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.