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Finding the Fourth Proportional to 11,514.75, 15,889.21 and 6,478.84

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Solution

The fourth proportional to 11,514.75, 15,889.21 and 6,478.84 is: 8,940.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,514.75 : 15,889.21 = 6,478.84 : x
  2. Step 2: Convert to fraction form
    11,514.75/15,889.21 = 6,478.84/x
  3. Step 3: Cross multiply
    11,514.75x = 15,889.21 × 6,478.84
  4. Step 4: Simplify right side
    11,514.75x = 102,943,649.32
  5. Step 5: Solve for x
    x = 102,943,649.32/11,514.75
  6. Step 6: Final answer
    x = 8,940.15

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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.