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Finding the Fourth Proportional to 8,083.43, 11,129.82 and 7,345.30

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Solution

The fourth proportional to 8,083.43, 11,129.82 and 7,345.30 is: 10,113.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.43 : 11,129.82 = 7,345.30 : x
  2. Step 2: Convert to fraction form
    8,083.43/11,129.82 = 7,345.30/x
  3. Step 3: Cross multiply
    8,083.43x = 11,129.82 × 7,345.30
  4. Step 4: Simplify right side
    8,083.43x = 81,751,866.85
  5. Step 5: Solve for x
    x = 81,751,866.85/8,083.43
  6. Step 6: Final answer
    x = 10,113.51

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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.