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Finding the Fourth Proportional to 8,684.37, 11,984.39 and 4,705.48

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Solution

The fourth proportional to 8,684.37, 11,984.39 and 4,705.48 is: 6,493.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,684.37 : 11,984.39 = 4,705.48 : x
  2. Step 2: Convert to fraction form
    8,684.37/11,984.39 = 4,705.48/x
  3. Step 3: Cross multiply
    8,684.37x = 11,984.39 × 4,705.48
  4. Step 4: Simplify right side
    8,684.37x = 56,392,337.42
  5. Step 5: Solve for x
    x = 56,392,337.42/8,684.37
  6. Step 6: Final answer
    x = 6,493.54

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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.