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Finding the Fourth Proportional to 7,458.54, 11,189.44 and 2,264.82

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Solution

The fourth proportional to 7,458.54, 11,189.44 and 2,264.82 is: 3,397.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,458.54 : 11,189.44 = 2,264.82 : x
  2. Step 2: Convert to fraction form
    7,458.54/11,189.44 = 2,264.82/x
  3. Step 3: Cross multiply
    7,458.54x = 11,189.44 × 2,264.82
  4. Step 4: Simplify right side
    7,458.54x = 25,342,067.50
  5. Step 5: Solve for x
    x = 25,342,067.50/7,458.54
  6. Step 6: Final answer
    x = 3,397.72

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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.