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Finding the Fourth Proportional to 10,295.94, 15,441.34 and 3,969.54

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Solution

The fourth proportional to 10,295.94, 15,441.34 and 3,969.54 is: 5,953.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.94 : 15,441.34 = 3,969.54 : x
  2. Step 2: Convert to fraction form
    10,295.94/15,441.34 = 3,969.54/x
  3. Step 3: Cross multiply
    10,295.94x = 15,441.34 × 3,969.54
  4. Step 4: Simplify right side
    10,295.94x = 61,295,016.78
  5. Step 5: Solve for x
    x = 61,295,016.78/10,295.94
  6. Step 6: Final answer
    x = 5,953.32

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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.