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Finding the Fourth Proportional to 7,659.34, 11,480.40 and 3,900.58

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Solution

The fourth proportional to 7,659.34, 11,480.40 and 3,900.58 is: 5,846.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,659.34 : 11,480.40 = 3,900.58 : x
  2. Step 2: Convert to fraction form
    7,659.34/11,480.40 = 3,900.58/x
  3. Step 3: Cross multiply
    7,659.34x = 11,480.40 × 3,900.58
  4. Step 4: Simplify right side
    7,659.34x = 44,780,141.73
  5. Step 5: Solve for x
    x = 44,780,141.73/7,659.34
  6. Step 6: Final answer
    x = 5,846.48

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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.