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Finding the Fourth Proportional to 6,917.50, 10,376.34 and 2,300.50

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Solution

The fourth proportional to 6,917.50, 10,376.34 and 2,300.50 is: 3,450.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,917.50 : 10,376.34 = 2,300.50 : x
  2. Step 2: Convert to fraction form
    6,917.50/10,376.34 = 2,300.50/x
  3. Step 3: Cross multiply
    6,917.50x = 10,376.34 × 2,300.50
  4. Step 4: Simplify right side
    6,917.50x = 23,870,770.17
  5. Step 5: Solve for x
    x = 23,870,770.17/6,917.50
  6. Step 6: Final answer
    x = 3,450.78

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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.