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Finding the Fourth Proportional to 6,975.98, 10,446.11 and 3,852.52

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Solution

The fourth proportional to 6,975.98, 10,446.11 and 3,852.52 is: 5,768.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.98 : 10,446.11 = 3,852.52 : x
  2. Step 2: Convert to fraction form
    6,975.98/10,446.11 = 3,852.52/x
  3. Step 3: Cross multiply
    6,975.98x = 10,446.11 × 3,852.52
  4. Step 4: Simplify right side
    6,975.98x = 40,243,847.70
  5. Step 5: Solve for x
    x = 40,243,847.70/6,975.98
  6. Step 6: Final answer
    x = 5,768.92

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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.