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Finding the Fourth Proportional to 6,783.29, 10,162.17 and 5,318.00

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Solution

The fourth proportional to 6,783.29, 10,162.17 and 5,318.00 is: 7,966.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.29 : 10,162.17 = 5,318.00 : x
  2. Step 2: Convert to fraction form
    6,783.29/10,162.17 = 5,318.00/x
  3. Step 3: Cross multiply
    6,783.29x = 10,162.17 × 5,318.00
  4. Step 4: Simplify right side
    6,783.29x = 54,042,369.25
  5. Step 5: Solve for x
    x = 54,042,369.25/6,783.29
  6. Step 6: Final answer
    x = 7,966.99

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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.