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Finding the Fourth Proportional to 8,309.46, 12,462.60 and 2,464.74

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Solution

The fourth proportional to 8,309.46, 12,462.60 and 2,464.74 is: 3,696.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.46 : 12,462.60 = 2,464.74 : x
  2. Step 2: Convert to fraction form
    8,309.46/12,462.60 = 2,464.74/x
  3. Step 3: Cross multiply
    8,309.46x = 12,462.60 × 2,464.74
  4. Step 4: Simplify right side
    8,309.46x = 30,717,068.72
  5. Step 5: Solve for x
    x = 30,717,068.72/8,309.46
  6. Step 6: Final answer
    x = 3,696.64

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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.