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Finding the Fourth Proportional to 8,179.74, 12,270.02 and 2,337.21

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Solution

The fourth proportional to 8,179.74, 12,270.02 and 2,337.21 is: 3,505.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179.74 : 12,270.02 = 2,337.21 : x
  2. Step 2: Convert to fraction form
    8,179.74/12,270.02 = 2,337.21/x
  3. Step 3: Cross multiply
    8,179.74x = 12,270.02 × 2,337.21
  4. Step 4: Simplify right side
    8,179.74x = 28,677,601.76
  5. Step 5: Solve for x
    x = 28,677,601.76/8,179.74
  6. Step 6: Final answer
    x = 3,505.93

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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.