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Finding the Fourth Proportional to 6,833.55, 10,251.77 and 3,873.41

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Solution

The fourth proportional to 6,833.55, 10,251.77 and 3,873.41 is: 5,810.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.55 : 10,251.77 = 3,873.41 : x
  2. Step 2: Convert to fraction form
    6,833.55/10,251.77 = 3,873.41/x
  3. Step 3: Cross multiply
    6,833.55x = 10,251.77 × 3,873.41
  4. Step 4: Simplify right side
    6,833.55x = 39,709,329.22
  5. Step 5: Solve for x
    x = 39,709,329.22/6,833.55
  6. Step 6: Final answer
    x = 5,810.93

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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.