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Finding the Fourth Proportional to 10,174.44, 14,040.96 and 5,698.52

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Solution

The fourth proportional to 10,174.44, 14,040.96 and 5,698.52 is: 7,864.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174.44 : 14,040.96 = 5,698.52 : x
  2. Step 2: Convert to fraction form
    10,174.44/14,040.96 = 5,698.52/x
  3. Step 3: Cross multiply
    10,174.44x = 14,040.96 × 5,698.52
  4. Step 4: Simplify right side
    10,174.44x = 80,012,691.38
  5. Step 5: Solve for x
    x = 80,012,691.38/10,174.44
  6. Step 6: Final answer
    x = 7,864.09

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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.