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Finding the Fourth Proportional to 8,279, 11,427.45 and 4,924.19

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Solution

The fourth proportional to 8,279, 11,427.45 and 4,924.19 is: 6,796.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,279 : 11,427.45 = 4,924.19 : x
  2. Step 2: Convert to fraction form
    8,279/11,427.45 = 4,924.19/x
  3. Step 3: Cross multiply
    8,279x = 11,427.45 × 4,924.19
  4. Step 4: Simplify right side
    8,279x = 56,270,935.02
  5. Step 5: Solve for x
    x = 56,270,935.02/8,279
  6. Step 6: Final answer
    x = 6,796.83

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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.