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Finding the Fourth Proportional to 8,289, 11,438.82 and 4,563

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Solution

The fourth proportional to 8,289, 11,438.82 and 4,563 is: 6,296.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289 : 11,438.82 = 4,563 : x
  2. Step 2: Convert to fraction form
    8,289/11,438.82 = 4,563/x
  3. Step 3: Cross multiply
    8,289x = 11,438.82 × 4,563
  4. Step 4: Simplify right side
    8,289x = 52,195,335.66
  5. Step 5: Solve for x
    x = 52,195,335.66/8,289
  6. Step 6: Final answer
    x = 6,296.94

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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.