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Finding the Fourth Proportional to 7,937.76, 11,898.27 and 3,255.69

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Solution

The fourth proportional to 7,937.76, 11,898.27 and 3,255.69 is: 4,880.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,937.76 : 11,898.27 = 3,255.69 : x
  2. Step 2: Convert to fraction form
    7,937.76/11,898.27 = 3,255.69/x
  3. Step 3: Cross multiply
    7,937.76x = 11,898.27 × 3,255.69
  4. Step 4: Simplify right side
    7,937.76x = 38,737,078.66
  5. Step 5: Solve for x
    x = 38,737,078.66/7,937.76
  6. Step 6: Final answer
    x = 4,880.10

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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.