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Finding the Fourth Proportional to 6,811.49, 10,217.34 and 1,881.53

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Solution

The fourth proportional to 6,811.49, 10,217.34 and 1,881.53 is: 2,822.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.49 : 10,217.34 = 1,881.53 : x
  2. Step 2: Convert to fraction form
    6,811.49/10,217.34 = 1,881.53/x
  3. Step 3: Cross multiply
    6,811.49x = 10,217.34 × 1,881.53
  4. Step 4: Simplify right side
    6,811.49x = 19,224,218.96
  5. Step 5: Solve for x
    x = 19,224,218.96/6,811.49
  6. Step 6: Final answer
    x = 2,822.32

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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.