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Finding the Fourth Proportional to 8,104.72, 12,157.16 and 2,261.76

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Solution

The fourth proportional to 8,104.72, 12,157.16 and 2,261.76 is: 3,392.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,104.72 : 12,157.16 = 2,261.76 : x
  2. Step 2: Convert to fraction form
    8,104.72/12,157.16 = 2,261.76/x
  3. Step 3: Cross multiply
    8,104.72x = 12,157.16 × 2,261.76
  4. Step 4: Simplify right side
    8,104.72x = 27,496,578.20
  5. Step 5: Solve for x
    x = 27,496,578.20/8,104.72
  6. Step 6: Final answer
    x = 3,392.66

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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.