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Finding the Fourth Proportional to 6,709.94, 10,069.36 and 4,491.25

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Solution

The fourth proportional to 6,709.94, 10,069.36 and 4,491.25 is: 6,739.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.94 : 10,069.36 = 4,491.25 : x
  2. Step 2: Convert to fraction form
    6,709.94/10,069.36 = 4,491.25/x
  3. Step 3: Cross multiply
    6,709.94x = 10,069.36 × 4,491.25
  4. Step 4: Simplify right side
    6,709.94x = 45,224,001.96
  5. Step 5: Solve for x
    x = 45,224,001.96/6,709.94
  6. Step 6: Final answer
    x = 6,739.85

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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.