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Finding the Fourth Proportional to 8,660, 11,951.04 and 4,934

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Solution

The fourth proportional to 8,660, 11,951.04 and 4,934 is: 6,809.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,660 : 11,951.04 = 4,934 : x
  2. Step 2: Convert to fraction form
    8,660/11,951.04 = 4,934/x
  3. Step 3: Cross multiply
    8,660x = 11,951.04 × 4,934
  4. Step 4: Simplify right side
    8,660x = 58,966,431.36
  5. Step 5: Solve for x
    x = 58,966,431.36/8,660
  6. Step 6: Final answer
    x = 6,809.06

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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.