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Finding the Fourth Proportional to 8,299.40, 11,453.10 and 4,764.56

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Solution

The fourth proportional to 8,299.40, 11,453.10 and 4,764.56 is: 6,575.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,299.40 : 11,453.10 = 4,764.56 : x
  2. Step 2: Convert to fraction form
    8,299.40/11,453.10 = 4,764.56/x
  3. Step 3: Cross multiply
    8,299.40x = 11,453.10 × 4,764.56
  4. Step 4: Simplify right side
    8,299.40x = 54,568,982.14
  5. Step 5: Solve for x
    x = 54,568,982.14/8,299.40
  6. Step 6: Final answer
    x = 6,575.05

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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.