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Finding the Fourth Proportional to 7,151.38, 10,727.80 and 1,957.26

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Solution

The fourth proportional to 7,151.38, 10,727.80 and 1,957.26 is: 2,936.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.38 : 10,727.80 = 1,957.26 : x
  2. Step 2: Convert to fraction form
    7,151.38/10,727.80 = 1,957.26/x
  3. Step 3: Cross multiply
    7,151.38x = 10,727.80 × 1,957.26
  4. Step 4: Simplify right side
    7,151.38x = 20,997,093.83
  5. Step 5: Solve for x
    x = 20,997,093.83/7,151.38
  6. Step 6: Final answer
    x = 2,936.09

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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.