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Finding the Fourth Proportional to 7,735.08, 11,598.82 and 5,396.20

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Solution

The fourth proportional to 7,735.08, 11,598.82 and 5,396.20 is: 8,091.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.08 : 11,598.82 = 5,396.20 : x
  2. Step 2: Convert to fraction form
    7,735.08/11,598.82 = 5,396.20/x
  3. Step 3: Cross multiply
    7,735.08x = 11,598.82 × 5,396.20
  4. Step 4: Simplify right side
    7,735.08x = 62,589,552.48
  5. Step 5: Solve for x
    x = 62,589,552.48/7,735.08
  6. Step 6: Final answer
    x = 8,091.65

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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.