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Finding the Fourth Proportional to 8,164.50, 11,260.65 and 5,474.82

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Solution

The fourth proportional to 8,164.50, 11,260.65 and 5,474.82 is: 7,550.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.50 : 11,260.65 = 5,474.82 : x
  2. Step 2: Convert to fraction form
    8,164.50/11,260.65 = 5,474.82/x
  3. Step 3: Cross multiply
    8,164.50x = 11,260.65 × 5,474.82
  4. Step 4: Simplify right side
    8,164.50x = 61,650,031.83
  5. Step 5: Solve for x
    x = 61,650,031.83/8,164.50
  6. Step 6: Final answer
    x = 7,550.99

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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.