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Finding the Fourth Proportional to 8,164.37, 11,265.82 and 4,976.51

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Solution

The fourth proportional to 8,164.37, 11,265.82 and 4,976.51 is: 6,866.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.37 : 11,265.82 = 4,976.51 : x
  2. Step 2: Convert to fraction form
    8,164.37/11,265.82 = 4,976.51/x
  3. Step 3: Cross multiply
    8,164.37x = 11,265.82 × 4,976.51
  4. Step 4: Simplify right side
    8,164.37x = 56,064,500.27
  5. Step 5: Solve for x
    x = 56,064,500.27/8,164.37
  6. Step 6: Final answer
    x = 6,866.97

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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.