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Finding the Fourth Proportional to 8,201.92, 11,319.20 and 5,058.24

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Solution

The fourth proportional to 8,201.92, 11,319.20 and 5,058.24 is: 6,980.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.92 : 11,319.20 = 5,058.24 : x
  2. Step 2: Convert to fraction form
    8,201.92/11,319.20 = 5,058.24/x
  3. Step 3: Cross multiply
    8,201.92x = 11,319.20 × 5,058.24
  4. Step 4: Simplify right side
    8,201.92x = 57,255,230.21
  5. Step 5: Solve for x
    x = 57,255,230.21/8,201.92
  6. Step 6: Final answer
    x = 6,980.71

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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.