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Finding the Fourth Proportional to 6,836.65, 10,237.50 and 5,452.01

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Solution

The fourth proportional to 6,836.65, 10,237.50 and 5,452.01 is: 8,164.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,836.65 : 10,237.50 = 5,452.01 : x
  2. Step 2: Convert to fraction form
    6,836.65/10,237.50 = 5,452.01/x
  3. Step 3: Cross multiply
    6,836.65x = 10,237.50 × 5,452.01
  4. Step 4: Simplify right side
    6,836.65x = 55,814,912.74
  5. Step 5: Solve for x
    x = 55,814,912.74/6,836.65
  6. Step 6: Final answer
    x = 8,164.07

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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.