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Finding the Fourth Proportional to 8,553.60, 11,806.56 and 5,410.80

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Solution

The fourth proportional to 8,553.60, 11,806.56 and 5,410.80 is: 7,468.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,553.60 : 11,806.56 = 5,410.80 : x
  2. Step 2: Convert to fraction form
    8,553.60/11,806.56 = 5,410.80/x
  3. Step 3: Cross multiply
    8,553.60x = 11,806.56 × 5,410.80
  4. Step 4: Simplify right side
    8,553.60x = 63,882,934.85
  5. Step 5: Solve for x
    x = 63,882,934.85/8,553.60
  6. Step 6: Final answer
    x = 7,468.54

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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.