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Finding the Fourth Proportional to 6,833.49, 10,268.75 and 3,715.80

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Solution

The fourth proportional to 6,833.49, 10,268.75 and 3,715.80 is: 5,583.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.49 : 10,268.75 = 3,715.80 : x
  2. Step 2: Convert to fraction form
    6,833.49/10,268.75 = 3,715.80/x
  3. Step 3: Cross multiply
    6,833.49x = 10,268.75 × 3,715.80
  4. Step 4: Simplify right side
    6,833.49x = 38,156,621.25
  5. Step 5: Solve for x
    x = 38,156,621.25/6,833.49
  6. Step 6: Final answer
    x = 5,583.77

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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.