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Finding the Fourth Proportional to 6,748.50, 10,122.75 and 2,131.50

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Solution

The fourth proportional to 6,748.50, 10,122.75 and 2,131.50 is: 3,197.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,748.50 : 10,122.75 = 2,131.50 : x
  2. Step 2: Convert to fraction form
    6,748.50/10,122.75 = 2,131.50/x
  3. Step 3: Cross multiply
    6,748.50x = 10,122.75 × 2,131.50
  4. Step 4: Simplify right side
    6,748.50x = 21,576,641.63
  5. Step 5: Solve for x
    x = 21,576,641.63/6,748.50
  6. Step 6: Final answer
    x = 3,197.25

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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.