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Finding the Fourth Proportional to 8,242.02, 12,363.02 and 5,474.09

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Solution

The fourth proportional to 8,242.02, 12,363.02 and 5,474.09 is: 8,211.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.02 : 12,363.02 = 5,474.09 : x
  2. Step 2: Convert to fraction form
    8,242.02/12,363.02 = 5,474.09/x
  3. Step 3: Cross multiply
    8,242.02x = 12,363.02 × 5,474.09
  4. Step 4: Simplify right side
    8,242.02x = 67,676,328.74
  5. Step 5: Solve for x
    x = 67,676,328.74/8,242.02
  6. Step 6: Final answer
    x = 8,211.14

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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.