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Finding the Fourth Proportional to 7,813.74, 11,728.71 and 5,234.70

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Solution

The fourth proportional to 7,813.74, 11,728.71 and 5,234.70 is: 7,857.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.74 : 11,728.71 = 5,234.70 : x
  2. Step 2: Convert to fraction form
    7,813.74/11,728.71 = 5,234.70/x
  3. Step 3: Cross multiply
    7,813.74x = 11,728.71 × 5,234.70
  4. Step 4: Simplify right side
    7,813.74x = 61,396,278.24
  5. Step 5: Solve for x
    x = 61,396,278.24/7,813.74
  6. Step 6: Final answer
    x = 7,857.48

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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.