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Finding the Fourth Proportional to 7,951.77, 11,923.20 and 3,566.43

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Solution

The fourth proportional to 7,951.77, 11,923.20 and 3,566.43 is: 5,347.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.77 : 11,923.20 = 3,566.43 : x
  2. Step 2: Convert to fraction form
    7,951.77/11,923.20 = 3,566.43/x
  3. Step 3: Cross multiply
    7,951.77x = 11,923.20 × 3,566.43
  4. Step 4: Simplify right side
    7,951.77x = 42,523,258.18
  5. Step 5: Solve for x
    x = 42,523,258.18/7,951.77
  6. Step 6: Final answer
    x = 5,347.65

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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.