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Finding the Fourth Proportional to 7,934.17, 11,893 and 2,665.27

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Solution

The fourth proportional to 7,934.17, 11,893 and 2,665.27 is: 3,995.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,934.17 : 11,893 = 2,665.27 : x
  2. Step 2: Convert to fraction form
    7,934.17/11,893 = 2,665.27/x
  3. Step 3: Cross multiply
    7,934.17x = 11,893 × 2,665.27
  4. Step 4: Simplify right side
    7,934.17x = 31,698,056.11
  5. Step 5: Solve for x
    x = 31,698,056.11/7,934.17
  6. Step 6: Final answer
    x = 3,995.13

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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.