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Finding the Fourth Proportional to 8,764.26, 13,146.14 and 2,524.30

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Solution

The fourth proportional to 8,764.26, 13,146.14 and 2,524.30 is: 3,786.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,764.26 : 13,146.14 = 2,524.30 : x
  2. Step 2: Convert to fraction form
    8,764.26/13,146.14 = 2,524.30/x
  3. Step 3: Cross multiply
    8,764.26x = 13,146.14 × 2,524.30
  4. Step 4: Simplify right side
    8,764.26x = 33,184,801.20
  5. Step 5: Solve for x
    x = 33,184,801.20/8,764.26
  6. Step 6: Final answer
    x = 3,786.38

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