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Finding the Fourth Proportional to 7,967.84, 11,957.20 and 2,773.71

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Solution

The fourth proportional to 7,967.84, 11,957.20 and 2,773.71 is: 4,162.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.84 : 11,957.20 = 2,773.71 : x
  2. Step 2: Convert to fraction form
    7,967.84/11,957.20 = 2,773.71/x
  3. Step 3: Cross multiply
    7,967.84x = 11,957.20 × 2,773.71
  4. Step 4: Simplify right side
    7,967.84x = 33,165,798.28
  5. Step 5: Solve for x
    x = 33,165,798.28/7,967.84
  6. Step 6: Final answer
    x = 4,162.46

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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.