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Finding the Fourth Proportional to 8,275.69, 12,414.75 and 2,431.54

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Solution

The fourth proportional to 8,275.69, 12,414.75 and 2,431.54 is: 3,647.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275.69 : 12,414.75 = 2,431.54 : x
  2. Step 2: Convert to fraction form
    8,275.69/12,414.75 = 2,431.54/x
  3. Step 3: Cross multiply
    8,275.69x = 12,414.75 × 2,431.54
  4. Step 4: Simplify right side
    8,275.69x = 30,186,961.22
  5. Step 5: Solve for x
    x = 30,186,961.22/8,275.69
  6. Step 6: Final answer
    x = 3,647.67

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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.