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Finding the Fourth Proportional to 6,945.68, 10,406.36 and 5,783.14

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Solution

The fourth proportional to 6,945.68, 10,406.36 and 5,783.14 is: 8,664.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945.68 : 10,406.36 = 5,783.14 : x
  2. Step 2: Convert to fraction form
    6,945.68/10,406.36 = 5,783.14/x
  3. Step 3: Cross multiply
    6,945.68x = 10,406.36 × 5,783.14
  4. Step 4: Simplify right side
    6,945.68x = 60,181,436.77
  5. Step 5: Solve for x
    x = 60,181,436.77/6,945.68
  6. Step 6: Final answer
    x = 8,664.59

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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.