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Finding the Fourth Proportional to 10,829.67, 16,243.16 and 3,039.09

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Solution

The fourth proportional to 10,829.67, 16,243.16 and 3,039.09 is: 4,558.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,829.67 : 16,243.16 = 3,039.09 : x
  2. Step 2: Convert to fraction form
    10,829.67/16,243.16 = 3,039.09/x
  3. Step 3: Cross multiply
    10,829.67x = 16,243.16 × 3,039.09
  4. Step 4: Simplify right side
    10,829.67x = 49,364,409.93
  5. Step 5: Solve for x
    x = 49,364,409.93/10,829.67
  6. Step 6: Final answer
    x = 4,558.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.