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Finding the Fourth Proportional to 8,092.48, 12,142.86 and 5,889.46

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Solution

The fourth proportional to 8,092.48, 12,142.86 and 5,889.46 is: 8,837.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.48 : 12,142.86 = 5,889.46 : x
  2. Step 2: Convert to fraction form
    8,092.48/12,142.86 = 5,889.46/x
  3. Step 3: Cross multiply
    8,092.48x = 12,142.86 × 5,889.46
  4. Step 4: Simplify right side
    8,092.48x = 71,514,888.26
  5. Step 5: Solve for x
    x = 71,514,888.26/8,092.48
  6. Step 6: Final answer
    x = 8,837.20

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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.