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Finding the Fourth Proportional to 6,945.93, 10,406.73 and 5,783.40

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Solution

The fourth proportional to 6,945.93, 10,406.73 and 5,783.40 is: 8,664.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945.93 : 10,406.73 = 5,783.40 : x
  2. Step 2: Convert to fraction form
    6,945.93/10,406.73 = 5,783.40/x
  3. Step 3: Cross multiply
    6,945.93x = 10,406.73 × 5,783.40
  4. Step 4: Simplify right side
    6,945.93x = 60,186,282.28
  5. Step 5: Solve for x
    x = 60,186,282.28/6,945.93
  6. Step 6: Final answer
    x = 8,664.97

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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.