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Finding the Fourth Proportional to 11,504.64, 15,837.23 and 8,514.84

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Solution

The fourth proportional to 11,504.64, 15,837.23 and 8,514.84 is: 11,721.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,504.64 : 15,837.23 = 8,514.84 : x
  2. Step 2: Convert to fraction form
    11,504.64/15,837.23 = 8,514.84/x
  3. Step 3: Cross multiply
    11,504.64x = 15,837.23 × 8,514.84
  4. Step 4: Simplify right side
    11,504.64x = 134,851,436.92
  5. Step 5: Solve for x
    x = 134,851,436.92/11,504.64
  6. Step 6: Final answer
    x = 11,721.48

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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.