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Finding the Fourth Proportional to 8,106.55, 12,157.65 and 3,107.84

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Solution

The fourth proportional to 8,106.55, 12,157.65 and 3,107.84 is: 4,660.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.55 : 12,157.65 = 3,107.84 : x
  2. Step 2: Convert to fraction form
    8,106.55/12,157.65 = 3,107.84/x
  3. Step 3: Cross multiply
    8,106.55x = 12,157.65 × 3,107.84
  4. Step 4: Simplify right side
    8,106.55x = 37,784,015.78
  5. Step 5: Solve for x
    x = 37,784,015.78/8,106.55
  6. Step 6: Final answer
    x = 4,660.92

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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.