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Finding the Fourth Proportional to 11,599.30, 17,401.80 and 5,363.64

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Solution

The fourth proportional to 11,599.30, 17,401.80 and 5,363.64 is: 8,046.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599.30 : 17,401.80 = 5,363.64 : x
  2. Step 2: Convert to fraction form
    11,599.30/17,401.80 = 5,363.64/x
  3. Step 3: Cross multiply
    11,599.30x = 17,401.80 × 5,363.64
  4. Step 4: Simplify right side
    11,599.30x = 93,336,990.55
  5. Step 5: Solve for x
    x = 93,336,990.55/11,599.30
  6. Step 6: Final answer
    x = 8,046.78

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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.