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Finding the Fourth Proportional to 10,174.39, 14,040.52 and 5,698.11

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Solution

The fourth proportional to 10,174.39, 14,040.52 and 5,698.11 is: 7,863.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174.39 : 14,040.52 = 5,698.11 : x
  2. Step 2: Convert to fraction form
    10,174.39/14,040.52 = 5,698.11/x
  3. Step 3: Cross multiply
    10,174.39x = 14,040.52 × 5,698.11
  4. Step 4: Simplify right side
    10,174.39x = 80,004,427.42
  5. Step 5: Solve for x
    x = 80,004,427.42/10,174.39
  6. Step 6: Final answer
    x = 7,863.31

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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.