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Finding the Fourth Proportional to 6,272.60, 8,652.62 and 5,638.36

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Solution

The fourth proportional to 6,272.60, 8,652.62 and 5,638.36 is: 7,777.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.60 : 8,652.62 = 5,638.36 : x
  2. Step 2: Convert to fraction form
    6,272.60/8,652.62 = 5,638.36/x
  3. Step 3: Cross multiply
    6,272.60x = 8,652.62 × 5,638.36
  4. Step 4: Simplify right side
    6,272.60x = 48,786,586.50
  5. Step 5: Solve for x
    x = 48,786,586.50/6,272.60
  6. Step 6: Final answer
    x = 7,777.73

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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.