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Finding the Fourth Proportional to 8,500.14, 12,750.23 and 3,233.94

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Solution

The fourth proportional to 8,500.14, 12,750.23 and 3,233.94 is: 4,850.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.14 : 12,750.23 = 3,233.94 : x
  2. Step 2: Convert to fraction form
    8,500.14/12,750.23 = 3,233.94/x
  3. Step 3: Cross multiply
    8,500.14x = 12,750.23 × 3,233.94
  4. Step 4: Simplify right side
    8,500.14x = 41,233,462.64
  5. Step 5: Solve for x
    x = 41,233,462.64/8,500.14
  6. Step 6: Final answer
    x = 4,850.92

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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.