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Finding the Fourth Proportional to 8,234.36, 11,363.60 and 5,004.24

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Solution

The fourth proportional to 8,234.36, 11,363.60 and 5,004.24 is: 6,905.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.36 : 11,363.60 = 5,004.24 : x
  2. Step 2: Convert to fraction form
    8,234.36/11,363.60 = 5,004.24/x
  3. Step 3: Cross multiply
    8,234.36x = 11,363.60 × 5,004.24
  4. Step 4: Simplify right side
    8,234.36x = 56,866,181.66
  5. Step 5: Solve for x
    x = 56,866,181.66/8,234.36
  6. Step 6: Final answer
    x = 6,905.96

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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.