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Finding the Fourth Proportional to 11,639.95, 16,057.24 and 7,858.33

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Solution

The fourth proportional to 11,639.95, 16,057.24 and 7,858.33 is: 10,840.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,639.95 : 16,057.24 = 7,858.33 : x
  2. Step 2: Convert to fraction form
    11,639.95/16,057.24 = 7,858.33/x
  3. Step 3: Cross multiply
    11,639.95x = 16,057.24 × 7,858.33
  4. Step 4: Simplify right side
    11,639.95x = 126,183,090.81
  5. Step 5: Solve for x
    x = 126,183,090.81/11,639.95
  6. Step 6: Final answer
    x = 10,840.52

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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.