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Finding the Fourth Proportional to 6,810.28, 10,198.95 and 5,222.01

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Solution

The fourth proportional to 6,810.28, 10,198.95 and 5,222.01 is: 7,820.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.28 : 10,198.95 = 5,222.01 : x
  2. Step 2: Convert to fraction form
    6,810.28/10,198.95 = 5,222.01/x
  3. Step 3: Cross multiply
    6,810.28x = 10,198.95 × 5,222.01
  4. Step 4: Simplify right side
    6,810.28x = 53,259,018.89
  5. Step 5: Solve for x
    x = 53,259,018.89/6,810.28
  6. Step 6: Final answer
    x = 7,820.39

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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.