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Finding the Fourth Proportional to 7,754.28, 11,615.34 and 3,793.62

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Solution

The fourth proportional to 7,754.28, 11,615.34 and 3,793.62 is: 5,682.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.28 : 11,615.34 = 3,793.62 : x
  2. Step 2: Convert to fraction form
    7,754.28/11,615.34 = 3,793.62/x
  3. Step 3: Cross multiply
    7,754.28x = 11,615.34 × 3,793.62
  4. Step 4: Simplify right side
    7,754.28x = 44,064,186.13
  5. Step 5: Solve for x
    x = 44,064,186.13/7,754.28
  6. Step 6: Final answer
    x = 5,682.56

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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.