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Finding the Fourth Proportional to 10,344.20, 15,516.44 and 2,553

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Solution

The fourth proportional to 10,344.20, 15,516.44 and 2,553 is: 3,829.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344.20 : 15,516.44 = 2,553 : x
  2. Step 2: Convert to fraction form
    10,344.20/15,516.44 = 2,553/x
  3. Step 3: Cross multiply
    10,344.20x = 15,516.44 × 2,553
  4. Step 4: Simplify right side
    10,344.20x = 39,613,458.56
  5. Step 5: Solve for x
    x = 39,613,458.56/10,344.20
  6. Step 6: Final answer
    x = 3,829.54

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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.