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Finding the Fourth Proportional to 10,516.46, 15,770.07 and 3,938.03

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Solution

The fourth proportional to 10,516.46, 15,770.07 and 3,938.03 is: 5,905.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,516.46 : 15,770.07 = 3,938.03 : x
  2. Step 2: Convert to fraction form
    10,516.46/15,770.07 = 3,938.03/x
  3. Step 3: Cross multiply
    10,516.46x = 15,770.07 × 3,938.03
  4. Step 4: Simplify right side
    10,516.46x = 62,102,989.05
  5. Step 5: Solve for x
    x = 62,102,989.05/10,516.46
  6. Step 6: Final answer
    x = 5,905.32

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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.