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Finding the Fourth Proportional to 11,613.57, 16,033.37 and 7,646.21

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Solution

The fourth proportional to 11,613.57, 16,033.37 and 7,646.21 is: 10,556.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,613.57 : 16,033.37 = 7,646.21 : x
  2. Step 2: Convert to fraction form
    11,613.57/16,033.37 = 7,646.21/x
  3. Step 3: Cross multiply
    11,613.57x = 16,033.37 × 7,646.21
  4. Step 4: Simplify right side
    11,613.57x = 122,594,514.03
  5. Step 5: Solve for x
    x = 122,594,514.03/11,613.57
  6. Step 6: Final answer
    x = 10,556.15

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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.