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Finding the Fourth Proportional to 10,600.53, 15,902.43 and 3,204.06

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Solution

The fourth proportional to 10,600.53, 15,902.43 and 3,204.06 is: 4,806.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600.53 : 15,902.43 = 3,204.06 : x
  2. Step 2: Convert to fraction form
    10,600.53/15,902.43 = 3,204.06/x
  3. Step 3: Cross multiply
    10,600.53x = 15,902.43 × 3,204.06
  4. Step 4: Simplify right side
    10,600.53x = 50,952,339.87
  5. Step 5: Solve for x
    x = 50,952,339.87/10,600.53
  6. Step 6: Final answer
    x = 4,806.58

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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.