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Finding the Fourth Proportional to 7,211.44, 10,804.20 and 6,706

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Solution

The fourth proportional to 7,211.44, 10,804.20 and 6,706 is: 10,046.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.44 : 10,804.20 = 6,706 : x
  2. Step 2: Convert to fraction form
    7,211.44/10,804.20 = 6,706/x
  3. Step 3: Cross multiply
    7,211.44x = 10,804.20 × 6,706
  4. Step 4: Simplify right side
    7,211.44x = 72,452,965.20
  5. Step 5: Solve for x
    x = 72,452,965.20/7,211.44
  6. Step 6: Final answer
    x = 10,046.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.