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Finding the Fourth Proportional to 7,338.49, 10,127.02 and 3,981.25

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Solution

The fourth proportional to 7,338.49, 10,127.02 and 3,981.25 is: 5,494.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,338.49 : 10,127.02 = 3,981.25 : x
  2. Step 2: Convert to fraction form
    7,338.49/10,127.02 = 3,981.25/x
  3. Step 3: Cross multiply
    7,338.49x = 10,127.02 × 3,981.25
  4. Step 4: Simplify right side
    7,338.49x = 40,318,198.38
  5. Step 5: Solve for x
    x = 40,318,198.38/7,338.49
  6. Step 6: Final answer
    x = 5,494.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.