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Finding the Fourth Proportional to 8,182.04, 12,273.12 and 2,338.72

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Solution

The fourth proportional to 8,182.04, 12,273.12 and 2,338.72 is: 3,508.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.04 : 12,273.12 = 2,338.72 : x
  2. Step 2: Convert to fraction form
    8,182.04/12,273.12 = 2,338.72/x
  3. Step 3: Cross multiply
    8,182.04x = 12,273.12 × 2,338.72
  4. Step 4: Simplify right side
    8,182.04x = 28,703,391.21
  5. Step 5: Solve for x
    x = 28,703,391.21/8,182.04
  6. Step 6: Final answer
    x = 3,508.10

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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.