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Finding the Fourth Proportional to 7,937.62, 11,890.94 and 4,238.55

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Solution

The fourth proportional to 7,937.62, 11,890.94 and 4,238.55 is: 6,349.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,937.62 : 11,890.94 = 4,238.55 : x
  2. Step 2: Convert to fraction form
    7,937.62/11,890.94 = 4,238.55/x
  3. Step 3: Cross multiply
    7,937.62x = 11,890.94 × 4,238.55
  4. Step 4: Simplify right side
    7,937.62x = 50,400,322.54
  5. Step 5: Solve for x
    x = 50,400,322.54/7,937.62
  6. Step 6: Final answer
    x = 6,349.55

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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.