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Finding the Fourth Proportional to 7,957.50, 11,930.97 and 3,798.15

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Solution

The fourth proportional to 7,957.50, 11,930.97 and 3,798.15 is: 5,694.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,957.50 : 11,930.97 = 3,798.15 : x
  2. Step 2: Convert to fraction form
    7,957.50/11,930.97 = 3,798.15/x
  3. Step 3: Cross multiply
    7,957.50x = 11,930.97 × 3,798.15
  4. Step 4: Simplify right side
    7,957.50x = 45,315,613.71
  5. Step 5: Solve for x
    x = 45,315,613.71/7,957.50
  6. Step 6: Final answer
    x = 5,694.70

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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.