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Finding the Fourth Proportional to 11,514.56, 17,266.16 and 4,849.84

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Solution

The fourth proportional to 11,514.56, 17,266.16 and 4,849.84 is: 7,272.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,514.56 : 17,266.16 = 4,849.84 : x
  2. Step 2: Convert to fraction form
    11,514.56/17,266.16 = 4,849.84/x
  3. Step 3: Cross multiply
    11,514.56x = 17,266.16 × 4,849.84
  4. Step 4: Simplify right side
    11,514.56x = 83,738,113.41
  5. Step 5: Solve for x
    x = 83,738,113.41/11,514.56
  6. Step 6: Final answer
    x = 7,272.37

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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.