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Finding the Fourth Proportional to 8,116.54, 11,200.97 and 4,761.77

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Solution

The fourth proportional to 8,116.54, 11,200.97 and 4,761.77 is: 6,571.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116.54 : 11,200.97 = 4,761.77 : x
  2. Step 2: Convert to fraction form
    8,116.54/11,200.97 = 4,761.77/x
  3. Step 3: Cross multiply
    8,116.54x = 11,200.97 × 4,761.77
  4. Step 4: Simplify right side
    8,116.54x = 53,336,442.92
  5. Step 5: Solve for x
    x = 53,336,442.92/8,116.54
  6. Step 6: Final answer
    x = 6,571.33

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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.