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Finding the Fourth Proportional to 7,190.87, 10,786.37 and 2,260.40

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Solution

The fourth proportional to 7,190.87, 10,786.37 and 2,260.40 is: 3,390.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190.87 : 10,786.37 = 2,260.40 : x
  2. Step 2: Convert to fraction form
    7,190.87/10,786.37 = 2,260.40/x
  3. Step 3: Cross multiply
    7,190.87x = 10,786.37 × 2,260.40
  4. Step 4: Simplify right side
    7,190.87x = 24,381,445.51
  5. Step 5: Solve for x
    x = 24,381,445.51/7,190.87
  6. Step 6: Final answer
    x = 3,390.61

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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.