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Finding the Fourth Proportional to 6,770.78, 10,156.17 and 2,153.78

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Solution

The fourth proportional to 6,770.78, 10,156.17 and 2,153.78 is: 3,230.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770.78 : 10,156.17 = 2,153.78 : x
  2. Step 2: Convert to fraction form
    6,770.78/10,156.17 = 2,153.78/x
  3. Step 3: Cross multiply
    6,770.78x = 10,156.17 × 2,153.78
  4. Step 4: Simplify right side
    6,770.78x = 21,874,155.82
  5. Step 5: Solve for x
    x = 21,874,155.82/6,770.78
  6. Step 6: Final answer
    x = 3,230.67

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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.