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Finding the Fourth Proportional to 6,802.85, 10,207.41 and 3,106.21

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Solution

The fourth proportional to 6,802.85, 10,207.41 and 3,106.21 is: 4,660.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.85 : 10,207.41 = 3,106.21 : x
  2. Step 2: Convert to fraction form
    6,802.85/10,207.41 = 3,106.21/x
  3. Step 3: Cross multiply
    6,802.85x = 10,207.41 × 3,106.21
  4. Step 4: Simplify right side
    6,802.85x = 31,706,321.85
  5. Step 5: Solve for x
    x = 31,706,321.85/6,802.85
  6. Step 6: Final answer
    x = 4,660.74

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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.