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Finding the Fourth Proportional to 7,898.14, 11,847.93 and 5,843.62

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Solution

The fourth proportional to 7,898.14, 11,847.93 and 5,843.62 is: 8,765.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898.14 : 11,847.93 = 5,843.62 : x
  2. Step 2: Convert to fraction form
    7,898.14/11,847.93 = 5,843.62/x
  3. Step 3: Cross multiply
    7,898.14x = 11,847.93 × 5,843.62
  4. Step 4: Simplify right side
    7,898.14x = 69,234,800.71
  5. Step 5: Solve for x
    x = 69,234,800.71/7,898.14
  6. Step 6: Final answer
    x = 8,765.96

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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.