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Finding the Fourth Proportional to 8,203.09, 11,321.34 and 4,665.62

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Solution

The fourth proportional to 8,203.09, 11,321.34 and 4,665.62 is: 6,439.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.09 : 11,321.34 = 4,665.62 : x
  2. Step 2: Convert to fraction form
    8,203.09/11,321.34 = 4,665.62/x
  3. Step 3: Cross multiply
    8,203.09x = 11,321.34 × 4,665.62
  4. Step 4: Simplify right side
    8,203.09x = 52,821,056.82
  5. Step 5: Solve for x
    x = 52,821,056.82/8,203.09
  6. Step 6: Final answer
    x = 6,439.17

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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.