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Finding the Fourth Proportional to 8,065.28, 11,132.16 and 6,832.64

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Solution

The fourth proportional to 8,065.28, 11,132.16 and 6,832.64 is: 9,430.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,065.28 : 11,132.16 = 6,832.64 : x
  2. Step 2: Convert to fraction form
    8,065.28/11,132.16 = 6,832.64/x
  3. Step 3: Cross multiply
    8,065.28x = 11,132.16 × 6,832.64
  4. Step 4: Simplify right side
    8,065.28x = 76,062,041.70
  5. Step 5: Solve for x
    x = 76,062,041.70/8,065.28
  6. Step 6: Final answer
    x = 9,430.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.