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Finding the Fourth Proportional to 6,802.65, 10,200.33 and 2,121.39

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Solution

The fourth proportional to 6,802.65, 10,200.33 and 2,121.39 is: 3,180.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.65 : 10,200.33 = 2,121.39 : x
  2. Step 2: Convert to fraction form
    6,802.65/10,200.33 = 2,121.39/x
  3. Step 3: Cross multiply
    6,802.65x = 10,200.33 × 2,121.39
  4. Step 4: Simplify right side
    6,802.65x = 21,638,878.06
  5. Step 5: Solve for x
    x = 21,638,878.06/6,802.65
  6. Step 6: Final answer
    x = 3,180.95

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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.