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Finding the Fourth Proportional to 8,205.12, 12,310.74 and 4,920.48

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Solution

The fourth proportional to 8,205.12, 12,310.74 and 4,920.48 is: 7,382.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.12 : 12,310.74 = 4,920.48 : x
  2. Step 2: Convert to fraction form
    8,205.12/12,310.74 = 4,920.48/x
  3. Step 3: Cross multiply
    8,205.12x = 12,310.74 × 4,920.48
  4. Step 4: Simplify right side
    8,205.12x = 60,574,749.96
  5. Step 5: Solve for x
    x = 60,574,749.96/8,205.12
  6. Step 6: Final answer
    x = 7,382.56

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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.