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Finding the Fourth Proportional to 6,810.40, 10,202.10 and 5,998.60

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Solution

The fourth proportional to 6,810.40, 10,202.10 and 5,998.60 is: 8,986.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.40 : 10,202.10 = 5,998.60 : x
  2. Step 2: Convert to fraction form
    6,810.40/10,202.10 = 5,998.60/x
  3. Step 3: Cross multiply
    6,810.40x = 10,202.10 × 5,998.60
  4. Step 4: Simplify right side
    6,810.40x = 61,198,317.06
  5. Step 5: Solve for x
    x = 61,198,317.06/6,810.40
  6. Step 6: Final answer
    x = 8,986.01

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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.