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Finding the Fourth Proportional to 6,709.53, 10,059.15 and 3,420.27

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Solution

The fourth proportional to 6,709.53, 10,059.15 and 3,420.27 is: 5,127.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.53 : 10,059.15 = 3,420.27 : x
  2. Step 2: Convert to fraction form
    6,709.53/10,059.15 = 3,420.27/x
  3. Step 3: Cross multiply
    6,709.53x = 10,059.15 × 3,420.27
  4. Step 4: Simplify right side
    6,709.53x = 34,405,008.97
  5. Step 5: Solve for x
    x = 34,405,008.97/6,709.53
  6. Step 6: Final answer
    x = 5,127.78

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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.