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Finding the Fourth Proportional to 10,634.89, 14,677.78 and 6,388.31

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Solution

The fourth proportional to 10,634.89, 14,677.78 and 6,388.31 is: 8,816.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,634.89 : 14,677.78 = 6,388.31 : x
  2. Step 2: Convert to fraction form
    10,634.89/14,677.78 = 6,388.31/x
  3. Step 3: Cross multiply
    10,634.89x = 14,677.78 × 6,388.31
  4. Step 4: Simplify right side
    10,634.89x = 93,766,229.48
  5. Step 5: Solve for x
    x = 93,766,229.48/10,634.89
  6. Step 6: Final answer
    x = 8,816.85

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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.