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Finding the Fourth Proportional to 8,681.68, 13,023.74 and 2,836.81

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Solution

The fourth proportional to 8,681.68, 13,023.74 and 2,836.81 is: 4,255.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681.68 : 13,023.74 = 2,836.81 : x
  2. Step 2: Convert to fraction form
    8,681.68/13,023.74 = 2,836.81/x
  3. Step 3: Cross multiply
    8,681.68x = 13,023.74 × 2,836.81
  4. Step 4: Simplify right side
    8,681.68x = 36,945,861.69
  5. Step 5: Solve for x
    x = 36,945,861.69/8,681.68
  6. Step 6: Final answer
    x = 4,255.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.