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Finding the Fourth Proportional to 7,366.38, 10,165.77 and 4,179.89

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Solution

The fourth proportional to 7,366.38, 10,165.77 and 4,179.89 is: 5,768.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,366.38 : 10,165.77 = 4,179.89 : x
  2. Step 2: Convert to fraction form
    7,366.38/10,165.77 = 4,179.89/x
  3. Step 3: Cross multiply
    7,366.38x = 10,165.77 × 4,179.89
  4. Step 4: Simplify right side
    7,366.38x = 42,491,749.54
  5. Step 5: Solve for x
    x = 42,491,749.54/7,366.38
  6. Step 6: Final answer
    x = 5,768.34

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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.