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Finding the Fourth Proportional to 8,064.72, 12,086.46 and 7,538.58

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Solution

The fourth proportional to 8,064.72, 12,086.46 and 7,538.58 is: 11,297.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064.72 : 12,086.46 = 7,538.58 : x
  2. Step 2: Convert to fraction form
    8,064.72/12,086.46 = 7,538.58/x
  3. Step 3: Cross multiply
    8,064.72x = 12,086.46 × 7,538.58
  4. Step 4: Simplify right side
    8,064.72x = 91,114,745.63
  5. Step 5: Solve for x
    x = 91,114,745.63/8,064.72
  6. Step 6: Final answer
    x = 11,297.94

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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.