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Finding the Fourth Proportional to 6,851.99, 10,291.81 and 4,084.07

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Solution

The fourth proportional to 6,851.99, 10,291.81 and 4,084.07 is: 6,134.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.99 : 10,291.81 = 4,084.07 : x
  2. Step 2: Convert to fraction form
    6,851.99/10,291.81 = 4,084.07/x
  3. Step 3: Cross multiply
    6,851.99x = 10,291.81 × 4,084.07
  4. Step 4: Simplify right side
    6,851.99x = 42,032,476.35
  5. Step 5: Solve for x
    x = 42,032,476.35/6,851.99
  6. Step 6: Final answer
    x = 6,134.34

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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.