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Finding the Fourth Proportional to 6,802.38, 10,199.88 and 2,120.40

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Solution

The fourth proportional to 6,802.38, 10,199.88 and 2,120.40 is: 3,179.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.38 : 10,199.88 = 2,120.40 : x
  2. Step 2: Convert to fraction form
    6,802.38/10,199.88 = 2,120.40/x
  3. Step 3: Cross multiply
    6,802.38x = 10,199.88 × 2,120.40
  4. Step 4: Simplify right side
    6,802.38x = 21,627,825.55
  5. Step 5: Solve for x
    x = 21,627,825.55/6,802.38
  6. Step 6: Final answer
    x = 3,179.45

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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.