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Finding the Fourth Proportional to 10,520.46, 15,776.08 and 3,942.04

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Solution

The fourth proportional to 10,520.46, 15,776.08 and 3,942.04 is: 5,911.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.46 : 15,776.08 = 3,942.04 : x
  2. Step 2: Convert to fraction form
    10,520.46/15,776.08 = 3,942.04/x
  3. Step 3: Cross multiply
    10,520.46x = 15,776.08 × 3,942.04
  4. Step 4: Simplify right side
    10,520.46x = 62,189,938.40
  5. Step 5: Solve for x
    x = 62,189,938.40/10,520.46
  6. Step 6: Final answer
    x = 5,911.33

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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.