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Finding the Fourth Proportional to 11,613.43, 16,040.96 and 11,438.47

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Solution

The fourth proportional to 11,613.43, 16,040.96 and 11,438.47 is: 15,799.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,613.43 : 16,040.96 = 11,438.47 : x
  2. Step 2: Convert to fraction form
    11,613.43/16,040.96 = 11,438.47/x
  3. Step 3: Cross multiply
    11,613.43x = 16,040.96 × 11,438.47
  4. Step 4: Simplify right side
    11,613.43x = 183,483,987.42
  5. Step 5: Solve for x
    x = 183,483,987.42/11,613.43
  6. Step 6: Final answer
    x = 15,799.30

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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.