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Finding the Fourth Proportional to 7,690.29, 11,516.94 and 5,217.63

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Solution

The fourth proportional to 7,690.29, 11,516.94 and 5,217.63 is: 7,813.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690.29 : 11,516.94 = 5,217.63 : x
  2. Step 2: Convert to fraction form
    7,690.29/11,516.94 = 5,217.63/x
  3. Step 3: Cross multiply
    7,690.29x = 11,516.94 × 5,217.63
  4. Step 4: Simplify right side
    7,690.29x = 60,091,131.65
  5. Step 5: Solve for x
    x = 60,091,131.65/7,690.29
  6. Step 6: Final answer
    x = 7,813.90

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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.