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Finding the Fourth Proportional to 8,279.60, 11,414.66 and 5,622.40

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Solution

The fourth proportional to 8,279.60, 11,414.66 and 5,622.40 is: 7,751.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,279.60 : 11,414.66 = 5,622.40 : x
  2. Step 2: Convert to fraction form
    8,279.60/11,414.66 = 5,622.40/x
  3. Step 3: Cross multiply
    8,279.60x = 11,414.66 × 5,622.40
  4. Step 4: Simplify right side
    8,279.60x = 64,177,784.38
  5. Step 5: Solve for x
    x = 64,177,784.38/8,279.60
  6. Step 6: Final answer
    x = 7,751.31

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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.