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Finding the Fourth Proportional to 8,176.34, 11,279.85 and 6,400.82

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Solution

The fourth proportional to 8,176.34, 11,279.85 and 6,400.82 is: 8,830.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.34 : 11,279.85 = 6,400.82 : x
  2. Step 2: Convert to fraction form
    8,176.34/11,279.85 = 6,400.82/x
  3. Step 3: Cross multiply
    8,176.34x = 11,279.85 × 6,400.82
  4. Step 4: Simplify right side
    8,176.34x = 72,200,289.48
  5. Step 5: Solve for x
    x = 72,200,289.48/8,176.34
  6. Step 6: Final answer
    x = 8,830.39

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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.