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Finding the Fourth Proportional to 7,957.92, 11,937 and 2,763.96

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Solution

The fourth proportional to 7,957.92, 11,937 and 2,763.96 is: 4,145.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,957.92 : 11,937 = 2,763.96 : x
  2. Step 2: Convert to fraction form
    7,957.92/11,937 = 2,763.96/x
  3. Step 3: Cross multiply
    7,957.92x = 11,937 × 2,763.96
  4. Step 4: Simplify right side
    7,957.92x = 32,993,390.52
  5. Step 5: Solve for x
    x = 32,993,390.52/7,957.92
  6. Step 6: Final answer
    x = 4,145.98

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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.