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Finding the Fourth Proportional to 6,955.50, 10,433.24 and 1,761.78

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Solution

The fourth proportional to 6,955.50, 10,433.24 and 1,761.78 is: 2,642.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,955.50 : 10,433.24 = 1,761.78 : x
  2. Step 2: Convert to fraction form
    6,955.50/10,433.24 = 1,761.78/x
  3. Step 3: Cross multiply
    6,955.50x = 10,433.24 × 1,761.78
  4. Step 4: Simplify right side
    6,955.50x = 18,381,073.57
  5. Step 5: Solve for x
    x = 18,381,073.57/6,955.50
  6. Step 6: Final answer
    x = 2,642.67

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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.