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Finding the Fourth Proportional to 8,353.85, 11,530.17 and 5,209.43

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Solution

The fourth proportional to 8,353.85, 11,530.17 and 5,209.43 is: 7,190.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,353.85 : 11,530.17 = 5,209.43 : x
  2. Step 2: Convert to fraction form
    8,353.85/11,530.17 = 5,209.43/x
  3. Step 3: Cross multiply
    8,353.85x = 11,530.17 × 5,209.43
  4. Step 4: Simplify right side
    8,353.85x = 60,065,555.85
  5. Step 5: Solve for x
    x = 60,065,555.85/8,353.85
  6. Step 6: Final answer
    x = 7,190.17

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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.