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Finding the Fourth Proportional to 7,151.25, 10,727.49 and 1,957.13

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Solution

The fourth proportional to 7,151.25, 10,727.49 and 1,957.13 is: 2,935.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.25 : 10,727.49 = 1,957.13 : x
  2. Step 2: Convert to fraction form
    7,151.25/10,727.49 = 1,957.13/x
  3. Step 3: Cross multiply
    7,151.25x = 10,727.49 × 1,957.13
  4. Step 4: Simplify right side
    7,151.25x = 20,995,038.87
  5. Step 5: Solve for x
    x = 20,995,038.87/7,151.25
  6. Step 6: Final answer
    x = 2,935.86

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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.