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Finding the Fourth Proportional to 10,164.96, 15,247.44 and 4,321.08

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Solution

The fourth proportional to 10,164.96, 15,247.44 and 4,321.08 is: 6,481.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164.96 : 15,247.44 = 4,321.08 : x
  2. Step 2: Convert to fraction form
    10,164.96/15,247.44 = 4,321.08/x
  3. Step 3: Cross multiply
    10,164.96x = 15,247.44 × 4,321.08
  4. Step 4: Simplify right side
    10,164.96x = 65,885,408.04
  5. Step 5: Solve for x
    x = 65,885,408.04/10,164.96
  6. Step 6: Final answer
    x = 6,481.62

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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.