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Finding the Fourth Proportional to 10,299.41, 14,212.62 and 5,822.88

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Solution

The fourth proportional to 10,299.41, 14,212.62 and 5,822.88 is: 8,035.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.41 : 14,212.62 = 5,822.88 : x
  2. Step 2: Convert to fraction form
    10,299.41/14,212.62 = 5,822.88/x
  3. Step 3: Cross multiply
    10,299.41x = 14,212.62 × 5,822.88
  4. Step 4: Simplify right side
    10,299.41x = 82,758,380.75
  5. Step 5: Solve for x
    x = 82,758,380.75/10,299.41
  6. Step 6: Final answer
    x = 8,035.25

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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.