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Finding the Fourth Proportional to 6,802.58, 10,204.89 and 3,683.02

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Solution

The fourth proportional to 6,802.58, 10,204.89 and 3,683.02 is: 5,525.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.58 : 10,204.89 = 3,683.02 : x
  2. Step 2: Convert to fraction form
    6,802.58/10,204.89 = 3,683.02/x
  3. Step 3: Cross multiply
    6,802.58x = 10,204.89 × 3,683.02
  4. Step 4: Simplify right side
    6,802.58x = 37,584,793.78
  5. Step 5: Solve for x
    x = 37,584,793.78/6,802.58
  6. Step 6: Final answer
    x = 5,525.08

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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.