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Finding the Fourth Proportional to 7,122.27, 10,685.57 and 5,046.29

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Solution

The fourth proportional to 7,122.27, 10,685.57 and 5,046.29 is: 7,570.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.27 : 10,685.57 = 5,046.29 : x
  2. Step 2: Convert to fraction form
    7,122.27/10,685.57 = 5,046.29/x
  3. Step 3: Cross multiply
    7,122.27x = 10,685.57 × 5,046.29
  4. Step 4: Simplify right side
    7,122.27x = 53,922,485.04
  5. Step 5: Solve for x
    x = 53,922,485.04/7,122.27
  6. Step 6: Final answer
    x = 7,570.97

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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.