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Finding the Fourth Proportional to 8,704.47, 13,027.82 and 7,926.26

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Solution

The fourth proportional to 8,704.47, 13,027.82 and 7,926.26 is: 11,863.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,704.47 : 13,027.82 = 7,926.26 : x
  2. Step 2: Convert to fraction form
    8,704.47/13,027.82 = 7,926.26/x
  3. Step 3: Cross multiply
    8,704.47x = 13,027.82 × 7,926.26
  4. Step 4: Simplify right side
    8,704.47x = 103,261,901.65
  5. Step 5: Solve for x
    x = 103,261,901.65/8,704.47
  6. Step 6: Final answer
    x = 11,863.09

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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.