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Finding the Fourth Proportional to 11,464.78, 15,820.27 and 6,493.26

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Solution

The fourth proportional to 11,464.78, 15,820.27 and 6,493.26 is: 8,960.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.78 : 15,820.27 = 6,493.26 : x
  2. Step 2: Convert to fraction form
    11,464.78/15,820.27 = 6,493.26/x
  3. Step 3: Cross multiply
    11,464.78x = 15,820.27 × 6,493.26
  4. Step 4: Simplify right side
    11,464.78x = 102,725,126.38
  5. Step 5: Solve for x
    x = 102,725,126.38/11,464.78
  6. Step 6: Final answer
    x = 8,960.06

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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.