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Finding the Fourth Proportional to 11,599.35, 17,384.99 and 5,350.83

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Solution

The fourth proportional to 11,599.35, 17,384.99 and 5,350.83 is: 8,019.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599.35 : 17,384.99 = 5,350.83 : x
  2. Step 2: Convert to fraction form
    11,599.35/17,384.99 = 5,350.83/x
  3. Step 3: Cross multiply
    11,599.35x = 17,384.99 × 5,350.83
  4. Step 4: Simplify right side
    11,599.35x = 93,024,099.29
  5. Step 5: Solve for x
    x = 93,024,099.29/11,599.35
  6. Step 6: Final answer
    x = 8,019.77

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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.