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Finding the Fourth Proportional to 8,556.40, 11,806.56 and 5,197.44

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Solution

The fourth proportional to 8,556.40, 11,806.56 and 5,197.44 is: 7,171.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,556.40 : 11,806.56 = 5,197.44 : x
  2. Step 2: Convert to fraction form
    8,556.40/11,806.56 = 5,197.44/x
  3. Step 3: Cross multiply
    8,556.40x = 11,806.56 × 5,197.44
  4. Step 4: Simplify right side
    8,556.40x = 61,363,887.21
  5. Step 5: Solve for x
    x = 61,363,887.21/8,556.40
  6. Step 6: Final answer
    x = 7,171.69

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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.