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Finding the Fourth Proportional to 10,735.30, 16,099.84 and 3,715.03

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Solution

The fourth proportional to 10,735.30, 16,099.84 and 3,715.03 is: 5,571.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.30 : 16,099.84 = 3,715.03 : x
  2. Step 2: Convert to fraction form
    10,735.30/16,099.84 = 3,715.03/x
  3. Step 3: Cross multiply
    10,735.30x = 16,099.84 × 3,715.03
  4. Step 4: Simplify right side
    10,735.30x = 59,811,388.60
  5. Step 5: Solve for x
    x = 59,811,388.60/10,735.30
  6. Step 6: Final answer
    x = 5,571.47

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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.