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Finding the Fourth Proportional to 8,519.78, 12,779.78 and 5,597.30

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Solution

The fourth proportional to 8,519.78, 12,779.78 and 5,597.30 is: 8,396.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519.78 : 12,779.78 = 5,597.30 : x
  2. Step 2: Convert to fraction form
    8,519.78/12,779.78 = 5,597.30/x
  3. Step 3: Cross multiply
    8,519.78x = 12,779.78 × 5,597.30
  4. Step 4: Simplify right side
    8,519.78x = 71,532,266.56
  5. Step 5: Solve for x
    x = 71,532,266.56/8,519.78
  6. Step 6: Final answer
    x = 8,396.02

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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.