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Finding the Fourth Proportional to 6,804.49, 10,207.93 and 3,107.09

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Solution

The fourth proportional to 6,804.49, 10,207.93 and 3,107.09 is: 4,661.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.49 : 10,207.93 = 3,107.09 : x
  2. Step 2: Convert to fraction form
    6,804.49/10,207.93 = 3,107.09/x
  3. Step 3: Cross multiply
    6,804.49x = 10,207.93 × 3,107.09
  4. Step 4: Simplify right side
    6,804.49x = 31,716,950.01
  5. Step 5: Solve for x
    x = 31,716,950.01/6,804.49
  6. Step 6: Final answer
    x = 4,661.18

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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.