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Finding the Fourth Proportional to 8,399.69, 11,595.21 and 5,257.70

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Solution

The fourth proportional to 8,399.69, 11,595.21 and 5,257.70 is: 7,257.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,399.69 : 11,595.21 = 5,257.70 : x
  2. Step 2: Convert to fraction form
    8,399.69/11,595.21 = 5,257.70/x
  3. Step 3: Cross multiply
    8,399.69x = 11,595.21 × 5,257.70
  4. Step 4: Simplify right side
    8,399.69x = 60,964,135.62
  5. Step 5: Solve for x
    x = 60,964,135.62/8,399.69
  6. Step 6: Final answer
    x = 7,257.90

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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.