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Finding the Fourth Proportional to 6,804.90, 10,208.79 and 3,106.10

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Solution

The fourth proportional to 6,804.90, 10,208.79 and 3,106.10 is: 4,659.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.90 : 10,208.79 = 3,106.10 : x
  2. Step 2: Convert to fraction form
    6,804.90/10,208.79 = 3,106.10/x
  3. Step 3: Cross multiply
    6,804.90x = 10,208.79 × 3,106.10
  4. Step 4: Simplify right side
    6,804.90x = 31,709,471.58
  5. Step 5: Solve for x
    x = 31,709,471.58/6,804.90
  6. Step 6: Final answer
    x = 4,659.80

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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.