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Finding the Fourth Proportional to 6,816.96, 10,235.16 and 6,505.92

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Solution

The fourth proportional to 6,816.96, 10,235.16 and 6,505.92 is: 9,768.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.96 : 10,235.16 = 6,505.92 : x
  2. Step 2: Convert to fraction form
    6,816.96/10,235.16 = 6,505.92/x
  3. Step 3: Cross multiply
    6,816.96x = 10,235.16 × 6,505.92
  4. Step 4: Simplify right side
    6,816.96x = 66,589,132.15
  5. Step 5: Solve for x
    x = 66,589,132.15/6,816.96
  6. Step 6: Final answer
    x = 9,768.16

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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.