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Finding the Fourth Proportional to 10,491.99, 15,735.72 and 3,470.37

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Solution

The fourth proportional to 10,491.99, 15,735.72 and 3,470.37 is: 5,204.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.99 : 15,735.72 = 3,470.37 : x
  2. Step 2: Convert to fraction form
    10,491.99/15,735.72 = 3,470.37/x
  3. Step 3: Cross multiply
    10,491.99x = 15,735.72 × 3,470.37
  4. Step 4: Simplify right side
    10,491.99x = 54,608,770.62
  5. Step 5: Solve for x
    x = 54,608,770.62/10,491.99
  6. Step 6: Final answer
    x = 5,204.81

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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.