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Finding the Fourth Proportional to 8,106.59, 12,154.25 and 4,150.17

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Solution

The fourth proportional to 8,106.59, 12,154.25 and 4,150.17 is: 6,222.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.59 : 12,154.25 = 4,150.17 : x
  2. Step 2: Convert to fraction form
    8,106.59/12,154.25 = 4,150.17/x
  3. Step 3: Cross multiply
    8,106.59x = 12,154.25 × 4,150.17
  4. Step 4: Simplify right side
    8,106.59x = 50,442,265.37
  5. Step 5: Solve for x
    x = 50,442,265.37/8,106.59
  6. Step 6: Final answer
    x = 6,222.37

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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.