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Finding the Fourth Proportional to 7,847.12, 10,829.22 and 4,310.66

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Solution

The fourth proportional to 7,847.12, 10,829.22 and 4,310.66 is: 5,948.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.12 : 10,829.22 = 4,310.66 : x
  2. Step 2: Convert to fraction form
    7,847.12/10,829.22 = 4,310.66/x
  3. Step 3: Cross multiply
    7,847.12x = 10,829.22 × 4,310.66
  4. Step 4: Simplify right side
    7,847.12x = 46,681,085.49
  5. Step 5: Solve for x
    x = 46,681,085.49/7,847.12
  6. Step 6: Final answer
    x = 5,948.82

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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.