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Finding the Fourth Proportional to 10,829.69, 16,245.17 and 3,039.11

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Solution

The fourth proportional to 10,829.69, 16,245.17 and 3,039.11 is: 4,558.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,829.69 : 16,245.17 = 3,039.11 : x
  2. Step 2: Convert to fraction form
    10,829.69/16,245.17 = 3,039.11/x
  3. Step 3: Cross multiply
    10,829.69x = 16,245.17 × 3,039.11
  4. Step 4: Simplify right side
    10,829.69x = 49,370,858.60
  5. Step 5: Solve for x
    x = 49,370,858.60/10,829.69
  6. Step 6: Final answer
    x = 4,558.84

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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.