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Finding the Fourth Proportional to 10,419.99, 14,379.69 and 5,704.38

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Solution

The fourth proportional to 10,419.99, 14,379.69 and 5,704.38 is: 7,872.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419.99 : 14,379.69 = 5,704.38 : x
  2. Step 2: Convert to fraction form
    10,419.99/14,379.69 = 5,704.38/x
  3. Step 3: Cross multiply
    10,419.99x = 14,379.69 × 5,704.38
  4. Step 4: Simplify right side
    10,419.99x = 82,027,216.04
  5. Step 5: Solve for x
    x = 82,027,216.04/10,419.99
  6. Step 6: Final answer
    x = 7,872.10

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Why These Related Problems?

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