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Finding the Fourth Proportional to 6,754.52, 10,102.20 and 4,114.73

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Solution

The fourth proportional to 6,754.52, 10,102.20 and 4,114.73 is: 6,154.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.52 : 10,102.20 = 4,114.73 : x
  2. Step 2: Convert to fraction form
    6,754.52/10,102.20 = 4,114.73/x
  3. Step 3: Cross multiply
    6,754.52x = 10,102.20 × 4,114.73
  4. Step 4: Simplify right side
    6,754.52x = 41,567,825.41
  5. Step 5: Solve for x
    x = 41,567,825.41/6,754.52
  6. Step 6: Final answer
    x = 6,154.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.