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Finding the Fourth Proportional to 8,341.81, 12,516.19 and 3,659.40

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Solution

The fourth proportional to 8,341.81, 12,516.19 and 3,659.40 is: 5,490.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,341.81 : 12,516.19 = 3,659.40 : x
  2. Step 2: Convert to fraction form
    8,341.81/12,516.19 = 3,659.40/x
  3. Step 3: Cross multiply
    8,341.81x = 12,516.19 × 3,659.40
  4. Step 4: Simplify right side
    8,341.81x = 45,801,736.54
  5. Step 5: Solve for x
    x = 45,801,736.54/8,341.81
  6. Step 6: Final answer
    x = 5,490.62

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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.