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Finding the Fourth Proportional to 10,121.89, 13,962.90 and 8,235.58

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Solution

The fourth proportional to 10,121.89, 13,962.90 and 8,235.58 is: 11,360.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,121.89 : 13,962.90 = 8,235.58 : x
  2. Step 2: Convert to fraction form
    10,121.89/13,962.90 = 8,235.58/x
  3. Step 3: Cross multiply
    10,121.89x = 13,962.90 × 8,235.58
  4. Step 4: Simplify right side
    10,121.89x = 114,992,579.98
  5. Step 5: Solve for x
    x = 114,992,579.98/10,121.89
  6. Step 6: Final answer
    x = 11,360.78

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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.