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Finding the Fourth Proportional to 10,265.78, 14,163.31 and 8,374.08

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Solution

The fourth proportional to 10,265.78, 14,163.31 and 8,374.08 is: 11,553.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,265.78 : 14,163.31 = 8,374.08 : x
  2. Step 2: Convert to fraction form
    10,265.78/14,163.31 = 8,374.08/x
  3. Step 3: Cross multiply
    10,265.78x = 14,163.31 × 8,374.08
  4. Step 4: Simplify right side
    10,265.78x = 118,604,578.32
  5. Step 5: Solve for x
    x = 118,604,578.32/10,265.78
  6. Step 6: Final answer
    x = 11,553.39

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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.