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Finding the Fourth Proportional to 7,466.44, 11,199.12 and 2,272

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Solution

The fourth proportional to 7,466.44, 11,199.12 and 2,272 is: 3,407.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,466.44 : 11,199.12 = 2,272 : x
  2. Step 2: Convert to fraction form
    7,466.44/11,199.12 = 2,272/x
  3. Step 3: Cross multiply
    7,466.44x = 11,199.12 × 2,272
  4. Step 4: Simplify right side
    7,466.44x = 25,444,400.64
  5. Step 5: Solve for x
    x = 25,444,400.64/7,466.44
  6. Step 6: Final answer
    x = 3,407.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.