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Finding the Fourth Proportional to 7,366.38, 10,162.89 and 4,849.94

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Solution

The fourth proportional to 7,366.38, 10,162.89 and 4,849.94 is: 6,691.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,366.38 : 10,162.89 = 4,849.94 : x
  2. Step 2: Convert to fraction form
    7,366.38/10,162.89 = 4,849.94/x
  3. Step 3: Cross multiply
    7,366.38x = 10,162.89 × 4,849.94
  4. Step 4: Simplify right side
    7,366.38x = 49,289,355.91
  5. Step 5: Solve for x
    x = 49,289,355.91/7,366.38
  6. Step 6: Final answer
    x = 6,691.12

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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.