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Finding the Fourth Proportional to 6,945.56, 10,406.18 and 5,783.03

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Solution

The fourth proportional to 6,945.56, 10,406.18 and 5,783.03 is: 8,664.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945.56 : 10,406.18 = 5,783.03 : x
  2. Step 2: Convert to fraction form
    6,945.56/10,406.18 = 5,783.03/x
  3. Step 3: Cross multiply
    6,945.56x = 10,406.18 × 5,783.03
  4. Step 4: Simplify right side
    6,945.56x = 60,179,170.18
  5. Step 5: Solve for x
    x = 60,179,170.18/6,945.56
  6. Step 6: Final answer
    x = 8,664.41

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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.