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Finding the Fourth Proportional to 7,648.46, 11,454.17 and 3,890.36

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Solution

The fourth proportional to 7,648.46, 11,454.17 and 3,890.36 is: 5,826.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.46 : 11,454.17 = 3,890.36 : x
  2. Step 2: Convert to fraction form
    7,648.46/11,454.17 = 3,890.36/x
  3. Step 3: Cross multiply
    7,648.46x = 11,454.17 × 3,890.36
  4. Step 4: Simplify right side
    7,648.46x = 44,560,844.80
  5. Step 5: Solve for x
    x = 44,560,844.80/7,648.46
  6. Step 6: Final answer
    x = 5,826.12

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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.