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Finding the Fourth Proportional to 7,776.38, 10,731.47 and 4,239.62

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Solution

The fourth proportional to 7,776.38, 10,731.47 and 4,239.62 is: 5,850.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.38 : 10,731.47 = 4,239.62 : x
  2. Step 2: Convert to fraction form
    7,776.38/10,731.47 = 4,239.62/x
  3. Step 3: Cross multiply
    7,776.38x = 10,731.47 × 4,239.62
  4. Step 4: Simplify right side
    7,776.38x = 45,497,344.08
  5. Step 5: Solve for x
    x = 45,497,344.08/7,776.38
  6. Step 6: Final answer
    x = 5,850.71

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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.