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Finding the Fourth Proportional to 7,847.67, 10,830.31 and 4,310.92

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Solution

The fourth proportional to 7,847.67, 10,830.31 and 4,310.92 is: 5,949.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.67 : 10,830.31 = 4,310.92 : x
  2. Step 2: Convert to fraction form
    7,847.67/10,830.31 = 4,310.92/x
  3. Step 3: Cross multiply
    7,847.67x = 10,830.31 × 4,310.92
  4. Step 4: Simplify right side
    7,847.67x = 46,688,545.83
  5. Step 5: Solve for x
    x = 46,688,545.83/7,847.67
  6. Step 6: Final answer
    x = 5,949.35

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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.