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Finding the Fourth Proportional to 6,272.54, 8,652.34 and 4,148.12

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Solution

The fourth proportional to 6,272.54, 8,652.34 and 4,148.12 is: 5,721.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.54 : 8,652.34 = 4,148.12 : x
  2. Step 2: Convert to fraction form
    6,272.54/8,652.34 = 4,148.12/x
  3. Step 3: Cross multiply
    6,272.54x = 8,652.34 × 4,148.12
  4. Step 4: Simplify right side
    6,272.54x = 35,890,944.60
  5. Step 5: Solve for x
    x = 35,890,944.60/6,272.54
  6. Step 6: Final answer
    x = 5,721.92

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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.