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Finding the Fourth Proportional to 11,993.99, 17,984.70 and 5,750.10

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Solution

The fourth proportional to 11,993.99, 17,984.70 and 5,750.10 is: 8,622.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.99 : 17,984.70 = 5,750.10 : x
  2. Step 2: Convert to fraction form
    11,993.99/17,984.70 = 5,750.10/x
  3. Step 3: Cross multiply
    11,993.99x = 17,984.70 × 5,750.10
  4. Step 4: Simplify right side
    11,993.99x = 103,413,823.47
  5. Step 5: Solve for x
    x = 103,413,823.47/11,993.99
  6. Step 6: Final answer
    x = 8,622.14

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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.