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Finding the Fourth Proportional to 6,700.50, 10,052.37 and 2,083.50

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Solution

The fourth proportional to 6,700.50, 10,052.37 and 2,083.50 is: 3,125.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.50 : 10,052.37 = 2,083.50 : x
  2. Step 2: Convert to fraction form
    6,700.50/10,052.37 = 2,083.50/x
  3. Step 3: Cross multiply
    6,700.50x = 10,052.37 × 2,083.50
  4. Step 4: Simplify right side
    6,700.50x = 20,944,112.90
  5. Step 5: Solve for x
    x = 20,944,112.90/6,700.50
  6. Step 6: Final answer
    x = 3,125.75

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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.