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Finding the Fourth Proportional to 8,344.30, 11,513.19 and 5,697.22

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Solution

The fourth proportional to 8,344.30, 11,513.19 and 5,697.22 is: 7,860.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344.30 : 11,513.19 = 5,697.22 : x
  2. Step 2: Convert to fraction form
    8,344.30/11,513.19 = 5,697.22/x
  3. Step 3: Cross multiply
    8,344.30x = 11,513.19 × 5,697.22
  4. Step 4: Simplify right side
    8,344.30x = 65,593,176.33
  5. Step 5: Solve for x
    x = 65,593,176.33/8,344.30
  6. Step 6: Final answer
    x = 7,860.84

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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.