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Finding the Fourth Proportional to 11,989.71, 17,984.73 and 4,594.54

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Solution

The fourth proportional to 11,989.71, 17,984.73 and 4,594.54 is: 6,891.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,989.71 : 17,984.73 = 4,594.54 : x
  2. Step 2: Convert to fraction form
    11,989.71/17,984.73 = 4,594.54/x
  3. Step 3: Cross multiply
    11,989.71x = 17,984.73 × 4,594.54
  4. Step 4: Simplify right side
    11,989.71x = 82,631,561.37
  5. Step 5: Solve for x
    x = 82,631,561.37/11,989.71
  6. Step 6: Final answer
    x = 6,891.87

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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.