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Finding the Fourth Proportional to 10,164.89, 14,023.23 and 7,183.28

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Solution

The fourth proportional to 10,164.89, 14,023.23 and 7,183.28 is: 9,909.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164.89 : 14,023.23 = 7,183.28 : x
  2. Step 2: Convert to fraction form
    10,164.89/14,023.23 = 7,183.28/x
  3. Step 3: Cross multiply
    10,164.89x = 14,023.23 × 7,183.28
  4. Step 4: Simplify right side
    10,164.89x = 100,732,795.72
  5. Step 5: Solve for x
    x = 100,732,795.72/10,164.89
  6. Step 6: Final answer
    x = 9,909.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.