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Finding the Fourth Proportional to 11,599.06, 17,384.33 and 5,350.40

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Solution

The fourth proportional to 11,599.06, 17,384.33 and 5,350.40 is: 8,019.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599.06 : 17,384.33 = 5,350.40 : x
  2. Step 2: Convert to fraction form
    11,599.06/17,384.33 = 5,350.40/x
  3. Step 3: Cross multiply
    11,599.06x = 17,384.33 × 5,350.40
  4. Step 4: Simplify right side
    11,599.06x = 93,013,119.23
  5. Step 5: Solve for x
    x = 93,013,119.23/11,599.06
  6. Step 6: Final answer
    x = 8,019.03

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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.