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Finding the Fourth Proportional to 7,839.38, 10,817.01 and 5,185.37

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Solution

The fourth proportional to 7,839.38, 10,817.01 and 5,185.37 is: 7,154.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839.38 : 10,817.01 = 5,185.37 : x
  2. Step 2: Convert to fraction form
    7,839.38/10,817.01 = 5,185.37/x
  3. Step 3: Cross multiply
    7,839.38x = 10,817.01 × 5,185.37
  4. Step 4: Simplify right side
    7,839.38x = 56,090,145.06
  5. Step 5: Solve for x
    x = 56,090,145.06/7,839.38
  6. Step 6: Final answer
    x = 7,154.93

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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.