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Finding the Fourth Proportional to 8,122.76, 12,180.64 and 3,122.12

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Solution

The fourth proportional to 8,122.76, 12,180.64 and 3,122.12 is: 4,681.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.76 : 12,180.64 = 3,122.12 : x
  2. Step 2: Convert to fraction form
    8,122.76/12,180.64 = 3,122.12/x
  3. Step 3: Cross multiply
    8,122.76x = 12,180.64 × 3,122.12
  4. Step 4: Simplify right side
    8,122.76x = 38,029,419.76
  5. Step 5: Solve for x
    x = 38,029,419.76/8,122.76
  6. Step 6: Final answer
    x = 4,681.83

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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.