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Finding the Fourth Proportional to 10,168.56, 15,255.72 and 4,326

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Solution

The fourth proportional to 10,168.56, 15,255.72 and 4,326 is: 6,490.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,168.56 : 15,255.72 = 4,326 : x
  2. Step 2: Convert to fraction form
    10,168.56/15,255.72 = 4,326/x
  3. Step 3: Cross multiply
    10,168.56x = 15,255.72 × 4,326
  4. Step 4: Simplify right side
    10,168.56x = 65,996,244.72
  5. Step 5: Solve for x
    x = 65,996,244.72/10,168.56
  6. Step 6: Final answer
    x = 6,490.23

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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.