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Finding the Fourth Proportional to 7,847.72, 10,829.88 and 4,310.84

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Solution

The fourth proportional to 7,847.72, 10,829.88 and 4,310.84 is: 5,948.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.72 : 10,829.88 = 4,310.84 : x
  2. Step 2: Convert to fraction form
    7,847.72/10,829.88 = 4,310.84/x
  3. Step 3: Cross multiply
    7,847.72x = 10,829.88 × 4,310.84
  4. Step 4: Simplify right side
    7,847.72x = 46,685,879.90
  5. Step 5: Solve for x
    x = 46,685,879.90/7,847.72
  6. Step 6: Final answer
    x = 5,948.97

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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.