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Finding the Fourth Proportional to 8,092.63, 11,177.17 and 5,399.16

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Solution

The fourth proportional to 8,092.63, 11,177.17 and 5,399.16 is: 7,457.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.63 : 11,177.17 = 5,399.16 : x
  2. Step 2: Convert to fraction form
    8,092.63/11,177.17 = 5,399.16/x
  3. Step 3: Cross multiply
    8,092.63x = 11,177.17 × 5,399.16
  4. Step 4: Simplify right side
    8,092.63x = 60,347,370.62
  5. Step 5: Solve for x
    x = 60,347,370.62/8,092.63
  6. Step 6: Final answer
    x = 7,457.08

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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.