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Finding the Fourth Proportional to 10,760.57, 14,845.32 and 6,222.42

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Solution

The fourth proportional to 10,760.57, 14,845.32 and 6,222.42 is: 8,584.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,760.57 : 14,845.32 = 6,222.42 : x
  2. Step 2: Convert to fraction form
    10,760.57/14,845.32 = 6,222.42/x
  3. Step 3: Cross multiply
    10,760.57x = 14,845.32 × 6,222.42
  4. Step 4: Simplify right side
    10,760.57x = 92,373,816.07
  5. Step 5: Solve for x
    x = 92,373,816.07/10,760.57
  6. Step 6: Final answer
    x = 8,584.48

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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.