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Finding the Fourth Proportional to 8,442.52, 11,650.66 and 4,716.52

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Solution

The fourth proportional to 8,442.52, 11,650.66 and 4,716.52 is: 6,508.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.52 : 11,650.66 = 4,716.52 : x
  2. Step 2: Convert to fraction form
    8,442.52/11,650.66 = 4,716.52/x
  3. Step 3: Cross multiply
    8,442.52x = 11,650.66 × 4,716.52
  4. Step 4: Simplify right side
    8,442.52x = 54,950,570.90
  5. Step 5: Solve for x
    x = 54,950,570.90/8,442.52
  6. Step 6: Final answer
    x = 6,508.79

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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.