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Finding the Fourth Proportional to 13,083.32, 18,059.63 and 7,778.12

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Solution

The fourth proportional to 13,083.32, 18,059.63 and 7,778.12 is: 10,736.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,083.32 : 18,059.63 = 7,778.12 : x
  2. Step 2: Convert to fraction form
    13,083.32/18,059.63 = 7,778.12/x
  3. Step 3: Cross multiply
    13,083.32x = 18,059.63 × 7,778.12
  4. Step 4: Simplify right side
    13,083.32x = 140,469,840.11
  5. Step 5: Solve for x
    x = 140,469,840.11/13,083.32
  6. Step 6: Final answer
    x = 10,736.56

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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.