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Finding the Fourth Proportional to 8,072.80, 11,143.44 and 7,088.56

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Solution

The fourth proportional to 8,072.80, 11,143.44 and 7,088.56 is: 9,784.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,072.80 : 11,143.44 = 7,088.56 : x
  2. Step 2: Convert to fraction form
    8,072.80/11,143.44 = 7,088.56/x
  3. Step 3: Cross multiply
    8,072.80x = 11,143.44 × 7,088.56
  4. Step 4: Simplify right side
    8,072.80x = 78,990,943.05
  5. Step 5: Solve for x
    x = 78,990,943.05/8,072.80
  6. Step 6: Final answer
    x = 9,784.83

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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.