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Finding the Fourth Proportional to 8,020.30, 11,056.75 and 5,034.14

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Solution

The fourth proportional to 8,020.30, 11,056.75 and 5,034.14 is: 6,940.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020.30 : 11,056.75 = 5,034.14 : x
  2. Step 2: Convert to fraction form
    8,020.30/11,056.75 = 5,034.14/x
  3. Step 3: Cross multiply
    8,020.30x = 11,056.75 × 5,034.14
  4. Step 4: Simplify right side
    8,020.30x = 55,661,146.99
  5. Step 5: Solve for x
    x = 55,661,146.99/8,020.30
  6. Step 6: Final answer
    x = 6,940.03

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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.