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Finding the Fourth Proportional to 8,439, 11,645.82 and 4,713

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Solution

The fourth proportional to 8,439, 11,645.82 and 4,713 is: 6,503.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,439 : 11,645.82 = 4,713 : x
  2. Step 2: Convert to fraction form
    8,439/11,645.82 = 4,713/x
  3. Step 3: Cross multiply
    8,439x = 11,645.82 × 4,713
  4. Step 4: Simplify right side
    8,439x = 54,886,749.66
  5. Step 5: Solve for x
    x = 54,886,749.66/8,439
  6. Step 6: Final answer
    x = 6,503.94

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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.