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Finding the Fourth Proportional to 7,137.39, 10,706.07 and 1,943.25

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Solution

The fourth proportional to 7,137.39, 10,706.07 and 1,943.25 is: 2,914.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.39 : 10,706.07 = 1,943.25 : x
  2. Step 2: Convert to fraction form
    7,137.39/10,706.07 = 1,943.25/x
  3. Step 3: Cross multiply
    7,137.39x = 10,706.07 × 1,943.25
  4. Step 4: Simplify right side
    7,137.39x = 20,804,570.53
  5. Step 5: Solve for x
    x = 20,804,570.53/7,137.39
  6. Step 6: Final answer
    x = 2,914.87

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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.