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Finding the Fourth Proportional to 8,684.58, 11,984.70 and 4,705.68

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Solution

The fourth proportional to 8,684.58, 11,984.70 and 4,705.68 is: 6,493.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,684.58 : 11,984.70 = 4,705.68 : x
  2. Step 2: Convert to fraction form
    8,684.58/11,984.70 = 4,705.68/x
  3. Step 3: Cross multiply
    8,684.58x = 11,984.70 × 4,705.68
  4. Step 4: Simplify right side
    8,684.58x = 56,396,163.10
  5. Step 5: Solve for x
    x = 56,396,163.10/8,684.58
  6. Step 6: Final answer
    x = 6,493.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.