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Finding the Fourth Proportional to 11,514.78, 15,889.68 and 6,478.38

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Solution

The fourth proportional to 11,514.78, 15,889.68 and 6,478.38 is: 8,939.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,514.78 : 15,889.68 = 6,478.38 : x
  2. Step 2: Convert to fraction form
    11,514.78/15,889.68 = 6,478.38/x
  3. Step 3: Cross multiply
    11,514.78x = 15,889.68 × 6,478.38
  4. Step 4: Simplify right side
    11,514.78x = 102,939,385.12
  5. Step 5: Solve for x
    x = 102,939,385.12/11,514.78
  6. Step 6: Final answer
    x = 8,939.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.