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Finding the Fourth Proportional to 11,500.17, 17,234.19 and 6,223.83

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Solution

The fourth proportional to 11,500.17, 17,234.19 and 6,223.83 is: 9,327.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,500.17 : 17,234.19 = 6,223.83 : x
  2. Step 2: Convert to fraction form
    11,500.17/17,234.19 = 6,223.83/x
  3. Step 3: Cross multiply
    11,500.17x = 17,234.19 × 6,223.83
  4. Step 4: Simplify right side
    11,500.17x = 107,262,668.75
  5. Step 5: Solve for x
    x = 107,262,668.75/11,500.17
  6. Step 6: Final answer
    x = 9,327.05

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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.