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Finding the Fourth Proportional to 8,200.88, 12,307.68 and 5,719.56

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Solution

The fourth proportional to 8,200.88, 12,307.68 and 5,719.56 is: 8,583.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.88 : 12,307.68 = 5,719.56 : x
  2. Step 2: Convert to fraction form
    8,200.88/12,307.68 = 5,719.56/x
  3. Step 3: Cross multiply
    8,200.88x = 12,307.68 × 5,719.56
  4. Step 4: Simplify right side
    8,200.88x = 70,394,514.22
  5. Step 5: Solve for x
    x = 70,394,514.22/8,200.88
  6. Step 6: Final answer
    x = 8,583.78

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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.