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Finding the Fourth Proportional to 7,967.80, 11,957.10 and 5,187.70

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Solution

The fourth proportional to 7,967.80, 11,957.10 and 5,187.70 is: 7,785.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.80 : 11,957.10 = 5,187.70 : x
  2. Step 2: Convert to fraction form
    7,967.80/11,957.10 = 5,187.70/x
  3. Step 3: Cross multiply
    7,967.80x = 11,957.10 × 5,187.70
  4. Step 4: Simplify right side
    7,967.80x = 62,029,847.67
  5. Step 5: Solve for x
    x = 62,029,847.67/7,967.80
  6. Step 6: Final answer
    x = 7,785.07

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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.