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Finding the Fourth Proportional to 10,334.22, 14,260.86 and 5,857.85

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Solution

The fourth proportional to 10,334.22, 14,260.86 and 5,857.85 is: 8,083.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,334.22 : 14,260.86 = 5,857.85 : x
  2. Step 2: Convert to fraction form
    10,334.22/14,260.86 = 5,857.85/x
  3. Step 3: Cross multiply
    10,334.22x = 14,260.86 × 5,857.85
  4. Step 4: Simplify right side
    10,334.22x = 83,538,014.40
  5. Step 5: Solve for x
    x = 83,538,014.40/10,334.22
  6. Step 6: Final answer
    x = 8,083.63

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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.