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Finding the Fourth Proportional to 10,420.24, 14,379.68 and 5,704.24

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Solution

The fourth proportional to 10,420.24, 14,379.68 and 5,704.24 is: 7,871.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.24 : 14,379.68 = 5,704.24 : x
  2. Step 2: Convert to fraction form
    10,420.24/14,379.68 = 5,704.24/x
  3. Step 3: Cross multiply
    10,420.24x = 14,379.68 × 5,704.24
  4. Step 4: Simplify right side
    10,420.24x = 82,025,145.84
  5. Step 5: Solve for x
    x = 82,025,145.84/10,420.24
  6. Step 6: Final answer
    x = 7,871.71

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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.