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Finding the Fourth Proportional to 8,052.48, 12,065.76 and 6,816.96

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Solution

The fourth proportional to 8,052.48, 12,065.76 and 6,816.96 is: 10,214.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,052.48 : 12,065.76 = 6,816.96 : x
  2. Step 2: Convert to fraction form
    8,052.48/12,065.76 = 6,816.96/x
  3. Step 3: Cross multiply
    8,052.48x = 12,065.76 × 6,816.96
  4. Step 4: Simplify right side
    8,052.48x = 82,251,803.29
  5. Step 5: Solve for x
    x = 82,251,803.29/8,052.48
  6. Step 6: Final answer
    x = 10,214.47

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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.