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Finding the Fourth Proportional to 8,083.51, 12,112.81 and 5,445.34

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Solution

The fourth proportional to 8,083.51, 12,112.81 and 5,445.34 is: 8,159.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.51 : 12,112.81 = 5,445.34 : x
  2. Step 2: Convert to fraction form
    8,083.51/12,112.81 = 5,445.34/x
  3. Step 3: Cross multiply
    8,083.51x = 12,112.81 × 5,445.34
  4. Step 4: Simplify right side
    8,083.51x = 65,958,324.91
  5. Step 5: Solve for x
    x = 65,958,324.91/8,083.51
  6. Step 6: Final answer
    x = 8,159.62

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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.