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Finding the Fourth Proportional to 11,267, 15,548.18 and 6,231.42

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Solution

The fourth proportional to 11,267, 15,548.18 and 6,231.42 is: 8,599.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,267 : 15,548.18 = 6,231.42 : x
  2. Step 2: Convert to fraction form
    11,267/15,548.18 = 6,231.42/x
  3. Step 3: Cross multiply
    11,267x = 15,548.18 × 6,231.42
  4. Step 4: Simplify right side
    11,267x = 96,887,239.82
  5. Step 5: Solve for x
    x = 96,887,239.82/11,267
  6. Step 6: Final answer
    x = 8,599.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.