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Finding the Fourth Proportional to 8,246, 11,379.48 and 4,519.92

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Solution

The fourth proportional to 8,246, 11,379.48 and 4,519.92 is: 6,237.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,246 : 11,379.48 = 4,519.92 : x
  2. Step 2: Convert to fraction form
    8,246/11,379.48 = 4,519.92/x
  3. Step 3: Cross multiply
    8,246x = 11,379.48 × 4,519.92
  4. Step 4: Simplify right side
    8,246x = 51,434,339.24
  5. Step 5: Solve for x
    x = 51,434,339.24/8,246
  6. Step 6: Final answer
    x = 6,237.49

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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.