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Finding the Fourth Proportional to 7,957.17, 11,935.76 and 2,763.09

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Solution

The fourth proportional to 7,957.17, 11,935.76 and 2,763.09 is: 4,144.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,957.17 : 11,935.76 = 2,763.09 : x
  2. Step 2: Convert to fraction form
    7,957.17/11,935.76 = 2,763.09/x
  3. Step 3: Cross multiply
    7,957.17x = 11,935.76 × 2,763.09
  4. Step 4: Simplify right side
    7,957.17x = 32,979,579.10
  5. Step 5: Solve for x
    x = 32,979,579.10/7,957.17
  6. Step 6: Final answer
    x = 4,144.64

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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.