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Finding the Fourth Proportional to 7,911.72, 11,874.78 and 4,217.10

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Solution

The fourth proportional to 7,911.72, 11,874.78 and 4,217.10 is: 6,329.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,911.72 : 11,874.78 = 4,217.10 : x
  2. Step 2: Convert to fraction form
    7,911.72/11,874.78 = 4,217.10/x
  3. Step 3: Cross multiply
    7,911.72x = 11,874.78 × 4,217.10
  4. Step 4: Simplify right side
    7,911.72x = 50,077,134.74
  5. Step 5: Solve for x
    x = 50,077,134.74/7,911.72
  6. Step 6: Final answer
    x = 6,329.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.