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Finding the Fourth Proportional to 6,851.81, 10,270.49 and 3,886.53

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Solution

The fourth proportional to 6,851.81, 10,270.49 and 3,886.53 is: 5,825.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.81 : 10,270.49 = 3,886.53 : x
  2. Step 2: Convert to fraction form
    6,851.81/10,270.49 = 3,886.53/x
  3. Step 3: Cross multiply
    6,851.81x = 10,270.49 × 3,886.53
  4. Step 4: Simplify right side
    6,851.81x = 39,916,548.07
  5. Step 5: Solve for x
    x = 39,916,548.07/6,851.81
  6. Step 6: Final answer
    x = 5,825.70

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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.