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Finding the Fourth Proportional to 11,401.84, 15,734.39 and 6,366.15

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Solution

The fourth proportional to 11,401.84, 15,734.39 and 6,366.15 is: 8,785.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,401.84 : 15,734.39 = 6,366.15 : x
  2. Step 2: Convert to fraction form
    11,401.84/15,734.39 = 6,366.15/x
  3. Step 3: Cross multiply
    11,401.84x = 15,734.39 × 6,366.15
  4. Step 4: Simplify right side
    11,401.84x = 100,167,431.87
  5. Step 5: Solve for x
    x = 100,167,431.87/11,401.84
  6. Step 6: Final answer
    x = 8,785.20

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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.