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Finding the Fourth Proportional to 7,467, 11,202.53 and 2,272.88

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Solution

The fourth proportional to 7,467, 11,202.53 and 2,272.88 is: 3,409.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467 : 11,202.53 = 2,272.88 : x
  2. Step 2: Convert to fraction form
    7,467/11,202.53 = 2,272.88/x
  3. Step 3: Cross multiply
    7,467x = 11,202.53 × 2,272.88
  4. Step 4: Simplify right side
    7,467x = 25,461,939.01
  5. Step 5: Solve for x
    x = 25,461,939.01/7,467
  6. Step 6: Final answer
    x = 3,409.93

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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.