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Finding the Fourth Proportional to 8,411.92, 11,601.63 and 7,401.44

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Solution

The fourth proportional to 8,411.92, 11,601.63 and 7,401.44 is: 10,207.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.92 : 11,601.63 = 7,401.44 : x
  2. Step 2: Convert to fraction form
    8,411.92/11,601.63 = 7,401.44/x
  3. Step 3: Cross multiply
    8,411.92x = 11,601.63 × 7,401.44
  4. Step 4: Simplify right side
    8,411.92x = 85,868,797.35
  5. Step 5: Solve for x
    x = 85,868,797.35/8,411.92
  6. Step 6: Final answer
    x = 10,207.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.