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Finding the Fourth Proportional to 8,942.74, 12,341.23 and 5,166.11

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Solution

The fourth proportional to 8,942.74, 12,341.23 and 5,166.11 is: 7,129.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,942.74 : 12,341.23 = 5,166.11 : x
  2. Step 2: Convert to fraction form
    8,942.74/12,341.23 = 5,166.11/x
  3. Step 3: Cross multiply
    8,942.74x = 12,341.23 × 5,166.11
  4. Step 4: Simplify right side
    8,942.74x = 63,756,169.65
  5. Step 5: Solve for x
    x = 63,756,169.65/8,942.74
  6. Step 6: Final answer
    x = 7,129.38

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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.