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Finding the Fourth Proportional to 8,657.80, 11,944.05 and 5,299.54

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Solution

The fourth proportional to 8,657.80, 11,944.05 and 5,299.54 is: 7,311.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.80 : 11,944.05 = 5,299.54 : x
  2. Step 2: Convert to fraction form
    8,657.80/11,944.05 = 5,299.54/x
  3. Step 3: Cross multiply
    8,657.80x = 11,944.05 × 5,299.54
  4. Step 4: Simplify right side
    8,657.80x = 63,297,970.74
  5. Step 5: Solve for x
    x = 63,297,970.74/8,657.80
  6. Step 6: Final answer
    x = 7,311.09

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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.