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Finding the Fourth Proportional to 8,234.06, 12,352.45 and 4,074.20

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Solution

The fourth proportional to 8,234.06, 12,352.45 and 4,074.20 is: 6,111.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.06 : 12,352.45 = 4,074.20 : x
  2. Step 2: Convert to fraction form
    8,234.06/12,352.45 = 4,074.20/x
  3. Step 3: Cross multiply
    8,234.06x = 12,352.45 × 4,074.20
  4. Step 4: Simplify right side
    8,234.06x = 50,326,333.80
  5. Step 5: Solve for x
    x = 50,326,333.80/8,234.06
  6. Step 6: Final answer
    x = 6,111.97

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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.