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Finding the Fourth Proportional to 8,561.90, 12,843.34 and 8,096.46

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Solution

The fourth proportional to 8,561.90, 12,843.34 and 8,096.46 is: 12,145.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561.90 : 12,843.34 = 8,096.46 : x
  2. Step 2: Convert to fraction form
    8,561.90/12,843.34 = 8,096.46/x
  3. Step 3: Cross multiply
    8,561.90x = 12,843.34 × 8,096.46
  4. Step 4: Simplify right side
    8,561.90x = 103,985,588.58
  5. Step 5: Solve for x
    x = 103,985,588.58/8,561.90
  6. Step 6: Final answer
    x = 12,145.15

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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.