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Finding the Fourth Proportional to 8,106.42, 12,158.99 and 2,559.93

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Solution

The fourth proportional to 8,106.42, 12,158.99 and 2,559.93 is: 3,839.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.42 : 12,158.99 = 2,559.93 : x
  2. Step 2: Convert to fraction form
    8,106.42/12,158.99 = 2,559.93/x
  3. Step 3: Cross multiply
    8,106.42x = 12,158.99 × 2,559.93
  4. Step 4: Simplify right side
    8,106.42x = 31,126,163.27
  5. Step 5: Solve for x
    x = 31,126,163.27/8,106.42
  6. Step 6: Final answer
    x = 3,839.69

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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.