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Finding the Fourth Proportional to 8,342.74, 12,516.27 and 3,148.66

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Solution

The fourth proportional to 8,342.74, 12,516.27 and 3,148.66 is: 4,723.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.74 : 12,516.27 = 3,148.66 : x
  2. Step 2: Convert to fraction form
    8,342.74/12,516.27 = 3,148.66/x
  3. Step 3: Cross multiply
    8,342.74x = 12,516.27 × 3,148.66
  4. Step 4: Simplify right side
    8,342.74x = 39,409,478.70
  5. Step 5: Solve for x
    x = 39,409,478.70/8,342.74
  6. Step 6: Final answer
    x = 4,723.81

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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.