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Finding the Fourth Proportional to 7,967.96, 11,957.39 and 2,773.84

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Solution

The fourth proportional to 7,967.96, 11,957.39 and 2,773.84 is: 4,162.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.96 : 11,957.39 = 2,773.84 : x
  2. Step 2: Convert to fraction form
    7,967.96/11,957.39 = 2,773.84/x
  3. Step 3: Cross multiply
    7,967.96x = 11,957.39 × 2,773.84
  4. Step 4: Simplify right side
    7,967.96x = 33,167,813.02
  5. Step 5: Solve for x
    x = 33,167,813.02/7,967.96
  6. Step 6: Final answer
    x = 4,162.65

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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.