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Finding the Fourth Proportional to 6,853.35, 10,230.43 and 6,022.99

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Solution

The fourth proportional to 6,853.35, 10,230.43 and 6,022.99 is: 8,990.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.35 : 10,230.43 = 6,022.99 : x
  2. Step 2: Convert to fraction form
    6,853.35/10,230.43 = 6,022.99/x
  3. Step 3: Cross multiply
    6,853.35x = 10,230.43 × 6,022.99
  4. Step 4: Simplify right side
    6,853.35x = 61,617,777.59
  5. Step 5: Solve for x
    x = 61,617,777.59/6,853.35
  6. Step 6: Final answer
    x = 8,990.90

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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.