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Finding the Fourth Proportional to 11,002.84, 15,183.85 and 5,967.18

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Solution

The fourth proportional to 11,002.84, 15,183.85 and 5,967.18 is: 8,234.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,002.84 : 15,183.85 = 5,967.18 : x
  2. Step 2: Convert to fraction form
    11,002.84/15,183.85 = 5,967.18/x
  3. Step 3: Cross multiply
    11,002.84x = 15,183.85 × 5,967.18
  4. Step 4: Simplify right side
    11,002.84x = 90,604,766.04
  5. Step 5: Solve for x
    x = 90,604,766.04/11,002.84
  6. Step 6: Final answer
    x = 8,234.67

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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.