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Finding the Fourth Proportional to 7,211.49, 10,820.36 and 2,827.41

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Solution

The fourth proportional to 7,211.49, 10,820.36 and 2,827.41 is: 4,242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.49 : 10,820.36 = 2,827.41 : x
  2. Step 2: Convert to fraction form
    7,211.49/10,820.36 = 2,827.41/x
  3. Step 3: Cross multiply
    7,211.49x = 10,820.36 × 2,827.41
  4. Step 4: Simplify right side
    7,211.49x = 30,593,594.07
  5. Step 5: Solve for x
    x = 30,593,594.07/7,211.49
  6. Step 6: Final answer
    x = 4,242.34

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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.