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Finding the Fourth Proportional to 7,615.54, 11,422 and 2,069.33

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Solution

The fourth proportional to 7,615.54, 11,422 and 2,069.33 is: 3,103.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,615.54 : 11,422 = 2,069.33 : x
  2. Step 2: Convert to fraction form
    7,615.54/11,422 = 2,069.33/x
  3. Step 3: Cross multiply
    7,615.54x = 11,422 × 2,069.33
  4. Step 4: Simplify right side
    7,615.54x = 23,635,887.26
  5. Step 5: Solve for x
    x = 23,635,887.26/7,615.54
  6. Step 6: Final answer
    x = 3,103.64

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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.