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Finding the Fourth Proportional to 6,811.70, 10,217.57 and 1,881.23

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Solution

The fourth proportional to 6,811.70, 10,217.57 and 1,881.23 is: 2,821.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.70 : 10,217.57 = 1,881.23 : x
  2. Step 2: Convert to fraction form
    6,811.70/10,217.57 = 1,881.23/x
  3. Step 3: Cross multiply
    6,811.70x = 10,217.57 × 1,881.23
  4. Step 4: Simplify right side
    6,811.70x = 19,221,538.72
  5. Step 5: Solve for x
    x = 19,221,538.72/6,811.70
  6. Step 6: Final answer
    x = 2,821.84

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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.