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Finding the Fourth Proportional to 7,753.84, 10,696.86 and 5,167.38

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Solution

The fourth proportional to 7,753.84, 10,696.86 and 5,167.38 is: 7,128.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,753.84 : 10,696.86 = 5,167.38 : x
  2. Step 2: Convert to fraction form
    7,753.84/10,696.86 = 5,167.38/x
  3. Step 3: Cross multiply
    7,753.84x = 10,696.86 × 5,167.38
  4. Step 4: Simplify right side
    7,753.84x = 55,274,740.43
  5. Step 5: Solve for x
    x = 55,274,740.43/7,753.84
  6. Step 6: Final answer
    x = 7,128.69

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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.