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Finding the Fourth Proportional to 8,083.30, 12,105.48 and 5,478.34

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Solution

The fourth proportional to 8,083.30, 12,105.48 and 5,478.34 is: 8,204.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.30 : 12,105.48 = 5,478.34 : x
  2. Step 2: Convert to fraction form
    8,083.30/12,105.48 = 5,478.34/x
  3. Step 3: Cross multiply
    8,083.30x = 12,105.48 × 5,478.34
  4. Step 4: Simplify right side
    8,083.30x = 66,317,935.30
  5. Step 5: Solve for x
    x = 66,317,935.30/8,083.30
  6. Step 6: Final answer
    x = 8,204.31

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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.