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Finding the Fourth Proportional to 8,447.26, 12,676.33 and 4,554.38

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Solution

The fourth proportional to 8,447.26, 12,676.33 and 4,554.38 is: 6,834.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.26 : 12,676.33 = 4,554.38 : x
  2. Step 2: Convert to fraction form
    8,447.26/12,676.33 = 4,554.38/x
  3. Step 3: Cross multiply
    8,447.26x = 12,676.33 × 4,554.38
  4. Step 4: Simplify right side
    8,447.26x = 57,732,823.83
  5. Step 5: Solve for x
    x = 57,732,823.83/8,447.26
  6. Step 6: Final answer
    x = 6,834.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.