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Finding the Fourth Proportional to 7,640.58, 11,462.31 and 3,023.94

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Solution

The fourth proportional to 7,640.58, 11,462.31 and 3,023.94 is: 4,536.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.58 : 11,462.31 = 3,023.94 : x
  2. Step 2: Convert to fraction form
    7,640.58/11,462.31 = 3,023.94/x
  3. Step 3: Cross multiply
    7,640.58x = 11,462.31 × 3,023.94
  4. Step 4: Simplify right side
    7,640.58x = 34,661,337.70
  5. Step 5: Solve for x
    x = 34,661,337.70/7,640.58
  6. Step 6: Final answer
    x = 4,536.48

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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.