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Finding the Fourth Proportional to 7,456, 11,184 and 2,262.28

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Solution

The fourth proportional to 7,456, 11,184 and 2,262.28 is: 3,393.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,456 : 11,184 = 2,262.28 : x
  2. Step 2: Convert to fraction form
    7,456/11,184 = 2,262.28/x
  3. Step 3: Cross multiply
    7,456x = 11,184 × 2,262.28
  4. Step 4: Simplify right side
    7,456x = 25,301,339.52
  5. Step 5: Solve for x
    x = 25,301,339.52/7,456
  6. Step 6: Final answer
    x = 3,393.42

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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.