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Finding the Fourth Proportional to 8,453.10, 11,674.85 and 5,759.64

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Solution

The fourth proportional to 8,453.10, 11,674.85 and 5,759.64 is: 7,954.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,453.10 : 11,674.85 = 5,759.64 : x
  2. Step 2: Convert to fraction form
    8,453.10/11,674.85 = 5,759.64/x
  3. Step 3: Cross multiply
    8,453.10x = 11,674.85 × 5,759.64
  4. Step 4: Simplify right side
    8,453.10x = 67,242,948.04
  5. Step 5: Solve for x
    x = 67,242,948.04/8,453.10
  6. Step 6: Final answer
    x = 7,954.83

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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.