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Finding the Fourth Proportional to 11,009, 16,514.56 and 3,613.48

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Solution

The fourth proportional to 11,009, 16,514.56 and 3,613.48 is: 5,420.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,009 : 16,514.56 = 3,613.48 : x
  2. Step 2: Convert to fraction form
    11,009/16,514.56 = 3,613.48/x
  3. Step 3: Cross multiply
    11,009x = 16,514.56 × 3,613.48
  4. Step 4: Simplify right side
    11,009x = 59,675,032.27
  5. Step 5: Solve for x
    x = 59,675,032.27/11,009
  6. Step 6: Final answer
    x = 5,420.57

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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.