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Finding the Fourth Proportional to 8,380.94, 11,556.07 and 7,648.70

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Solution

The fourth proportional to 8,380.94, 11,556.07 and 7,648.70 is: 10,546.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.94 : 11,556.07 = 7,648.70 : x
  2. Step 2: Convert to fraction form
    8,380.94/11,556.07 = 7,648.70/x
  3. Step 3: Cross multiply
    8,380.94x = 11,556.07 × 7,648.70
  4. Step 4: Simplify right side
    8,380.94x = 88,388,835.71
  5. Step 5: Solve for x
    x = 88,388,835.71/8,380.94
  6. Step 6: Final answer
    x = 10,546.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.