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Finding the Fourth Proportional to 7,453.26, 11,179.89 and 2,259

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Solution

The fourth proportional to 7,453.26, 11,179.89 and 2,259 is: 3,388.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,453.26 : 11,179.89 = 2,259 : x
  2. Step 2: Convert to fraction form
    7,453.26/11,179.89 = 2,259/x
  3. Step 3: Cross multiply
    7,453.26x = 11,179.89 × 2,259
  4. Step 4: Simplify right side
    7,453.26x = 25,255,371.51
  5. Step 5: Solve for x
    x = 25,255,371.51/7,453.26
  6. Step 6: Final answer
    x = 3,388.50

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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.