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Finding the Fourth Proportional to 8,309.34, 12,460.74 and 2,464.38

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Solution

The fourth proportional to 8,309.34, 12,460.74 and 2,464.38 is: 3,695.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.34 : 12,460.74 = 2,464.38 : x
  2. Step 2: Convert to fraction form
    8,309.34/12,460.74 = 2,464.38/x
  3. Step 3: Cross multiply
    8,309.34x = 12,460.74 × 2,464.38
  4. Step 4: Simplify right side
    8,309.34x = 30,707,998.44
  5. Step 5: Solve for x
    x = 30,707,998.44/8,309.34
  6. Step 6: Final answer
    x = 3,695.60

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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.