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Finding the Fourth Proportional to 7,690.67, 11,513.55 and 5,849

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Solution

The fourth proportional to 7,690.67, 11,513.55 and 5,849 is: 8,756.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690.67 : 11,513.55 = 5,849 : x
  2. Step 2: Convert to fraction form
    7,690.67/11,513.55 = 5,849/x
  3. Step 3: Cross multiply
    7,690.67x = 11,513.55 × 5,849
  4. Step 4: Simplify right side
    7,690.67x = 67,342,753.95
  5. Step 5: Solve for x
    x = 67,342,753.95/7,690.67
  6. Step 6: Final answer
    x = 8,756.42

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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.