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Finding the Fourth Proportional to 7,850.46, 11,775.68 and 4,930.82

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Solution

The fourth proportional to 7,850.46, 11,775.68 and 4,930.82 is: 7,396.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.46 : 11,775.68 = 4,930.82 : x
  2. Step 2: Convert to fraction form
    7,850.46/11,775.68 = 4,930.82/x
  3. Step 3: Cross multiply
    7,850.46x = 11,775.68 × 4,930.82
  4. Step 4: Simplify right side
    7,850.46x = 58,063,674.93
  5. Step 5: Solve for x
    x = 58,063,674.93/7,850.46
  6. Step 6: Final answer
    x = 7,396.21

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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.