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Finding the Fourth Proportional to 8,684.50, 11,984.54 and 4,705.60

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Solution

The fourth proportional to 8,684.50, 11,984.54 and 4,705.60 is: 6,493.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,684.50 : 11,984.54 = 4,705.60 : x
  2. Step 2: Convert to fraction form
    8,684.50/11,984.54 = 4,705.60/x
  3. Step 3: Cross multiply
    8,684.50x = 11,984.54 × 4,705.60
  4. Step 4: Simplify right side
    8,684.50x = 56,394,451.42
  5. Step 5: Solve for x
    x = 56,394,451.42/8,684.50
  6. Step 6: Final answer
    x = 6,493.69

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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.