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Finding the Fourth Proportional to 8,206.71, 12,291.71 and 3,817.59

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Solution

The fourth proportional to 8,206.71, 12,291.71 and 3,817.59 is: 5,717.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.71 : 12,291.71 = 3,817.59 : x
  2. Step 2: Convert to fraction form
    8,206.71/12,291.71 = 3,817.59/x
  3. Step 3: Cross multiply
    8,206.71x = 12,291.71 × 3,817.59
  4. Step 4: Simplify right side
    8,206.71x = 46,924,690.09
  5. Step 5: Solve for x
    x = 46,924,690.09/8,206.71
  6. Step 6: Final answer
    x = 5,717.84

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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.