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Finding the Fourth Proportional to 6,813.84, 10,219.26 and 2,653.94

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Solution

The fourth proportional to 6,813.84, 10,219.26 and 2,653.94 is: 3,980.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.84 : 10,219.26 = 2,653.94 : x
  2. Step 2: Convert to fraction form
    6,813.84/10,219.26 = 2,653.94/x
  3. Step 3: Cross multiply
    6,813.84x = 10,219.26 × 2,653.94
  4. Step 4: Simplify right side
    6,813.84x = 27,121,302.88
  5. Step 5: Solve for x
    x = 27,121,302.88/6,813.84
  6. Step 6: Final answer
    x = 3,980.33

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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.