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Finding the Fourth Proportional to 7,151.14, 10,726.89 and 1,957.06

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Solution

The fourth proportional to 7,151.14, 10,726.89 and 1,957.06 is: 2,935.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.14 : 10,726.89 = 1,957.06 : x
  2. Step 2: Convert to fraction form
    7,151.14/10,726.89 = 1,957.06/x
  3. Step 3: Cross multiply
    7,151.14x = 10,726.89 × 1,957.06
  4. Step 4: Simplify right side
    7,151.14x = 20,993,167.34
  5. Step 5: Solve for x
    x = 20,993,167.34/7,151.14
  6. Step 6: Final answer
    x = 2,935.64

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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.