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Finding the Fourth Proportional to 11,782.69, 17,674.03 and 3,574.69

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Solution

The fourth proportional to 11,782.69, 17,674.03 and 3,574.69 is: 5,362.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.69 : 17,674.03 = 3,574.69 : x
  2. Step 2: Convert to fraction form
    11,782.69/17,674.03 = 3,574.69/x
  3. Step 3: Cross multiply
    11,782.69x = 17,674.03 × 3,574.69
  4. Step 4: Simplify right side
    11,782.69x = 63,179,138.58
  5. Step 5: Solve for x
    x = 63,179,138.58/11,782.69
  6. Step 6: Final answer
    x = 5,362.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.