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Finding the Fourth Proportional to 6,889.76, 10,334.50 and 2,272.76

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Solution

The fourth proportional to 6,889.76, 10,334.50 and 2,272.76 is: 3,409.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,889.76 : 10,334.50 = 2,272.76 : x
  2. Step 2: Convert to fraction form
    6,889.76/10,334.50 = 2,272.76/x
  3. Step 3: Cross multiply
    6,889.76x = 10,334.50 × 2,272.76
  4. Step 4: Simplify right side
    6,889.76x = 23,487,780.87
  5. Step 5: Solve for x
    x = 23,487,780.87/6,889.76
  6. Step 6: Final answer
    x = 3,409.09

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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.