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Finding the Fourth Proportional to 8,287.38, 11,434.32 and 5,766.66

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Solution

The fourth proportional to 8,287.38, 11,434.32 and 5,766.66 is: 7,956.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.38 : 11,434.32 = 5,766.66 : x
  2. Step 2: Convert to fraction form
    8,287.38/11,434.32 = 5,766.66/x
  3. Step 3: Cross multiply
    8,287.38x = 11,434.32 × 5,766.66
  4. Step 4: Simplify right side
    8,287.38x = 65,937,835.77
  5. Step 5: Solve for x
    x = 65,937,835.77/8,287.38
  6. Step 6: Final answer
    x = 7,956.42

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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.