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Finding the Fourth Proportional to 7,371.80, 11,004.26 and 6,823.02

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Solution

The fourth proportional to 7,371.80, 11,004.26 and 6,823.02 is: 10,185.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,371.80 : 11,004.26 = 6,823.02 : x
  2. Step 2: Convert to fraction form
    7,371.80/11,004.26 = 6,823.02/x
  3. Step 3: Cross multiply
    7,371.80x = 11,004.26 × 6,823.02
  4. Step 4: Simplify right side
    7,371.80x = 75,082,292.95
  5. Step 5: Solve for x
    x = 75,082,292.95/7,371.80
  6. Step 6: Final answer
    x = 10,185.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.