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Finding the Fourth Proportional to 8,192.26, 12,289.02 and 2,349.46

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Solution

The fourth proportional to 8,192.26, 12,289.02 and 2,349.46 is: 3,524.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.26 : 12,289.02 = 2,349.46 : x
  2. Step 2: Convert to fraction form
    8,192.26/12,289.02 = 2,349.46/x
  3. Step 3: Cross multiply
    8,192.26x = 12,289.02 × 2,349.46
  4. Step 4: Simplify right side
    8,192.26x = 28,872,560.93
  5. Step 5: Solve for x
    x = 28,872,560.93/8,192.26
  6. Step 6: Final answer
    x = 3,524.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.