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Finding the Fourth Proportional to 7,137.38, 10,705.92 and 1,943.12

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Solution

The fourth proportional to 7,137.38, 10,705.92 and 1,943.12 is: 2,914.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.38 : 10,705.92 = 1,943.12 : x
  2. Step 2: Convert to fraction form
    7,137.38/10,705.92 = 1,943.12/x
  3. Step 3: Cross multiply
    7,137.38x = 10,705.92 × 1,943.12
  4. Step 4: Simplify right side
    7,137.38x = 20,802,887.27
  5. Step 5: Solve for x
    x = 20,802,887.27/7,137.38
  6. Step 6: Final answer
    x = 2,914.64

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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.