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Finding the Fourth Proportional to 7,847.42, 10,829.60 and 4,310.65

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Solution

The fourth proportional to 7,847.42, 10,829.60 and 4,310.65 is: 5,948.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.42 : 10,829.60 = 4,310.65 : x
  2. Step 2: Convert to fraction form
    7,847.42/10,829.60 = 4,310.65/x
  3. Step 3: Cross multiply
    7,847.42x = 10,829.60 × 4,310.65
  4. Step 4: Simplify right side
    7,847.42x = 46,682,623.39
  5. Step 5: Solve for x
    x = 46,682,623.39/7,847.42
  6. Step 6: Final answer
    x = 5,948.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.