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Finding the Fourth Proportional to 7,934.38, 10,946.94 and 5,282.21

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Solution

The fourth proportional to 7,934.38, 10,946.94 and 5,282.21 is: 7,287.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,934.38 : 10,946.94 = 5,282.21 : x
  2. Step 2: Convert to fraction form
    7,934.38/10,946.94 = 5,282.21/x
  3. Step 3: Cross multiply
    7,934.38x = 10,946.94 × 5,282.21
  4. Step 4: Simplify right side
    7,934.38x = 57,824,035.94
  5. Step 5: Solve for x
    x = 57,824,035.94/7,934.38
  6. Step 6: Final answer
    x = 7,287.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.