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Finding the Fourth Proportional to 8,302, 11,456.82 and 4,576

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Solution

The fourth proportional to 8,302, 11,456.82 and 4,576 is: 6,314.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302 : 11,456.82 = 4,576 : x
  2. Step 2: Convert to fraction form
    8,302/11,456.82 = 4,576/x
  3. Step 3: Cross multiply
    8,302x = 11,456.82 × 4,576
  4. Step 4: Simplify right side
    8,302x = 52,426,408.32
  5. Step 5: Solve for x
    x = 52,426,408.32/8,302
  6. Step 6: Final answer
    x = 6,314.91

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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.