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Finding the Fourth Proportional to 8,996.05, 12,414.24 and 5,640.67

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Solution

The fourth proportional to 8,996.05, 12,414.24 and 5,640.67 is: 7,783.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,996.05 : 12,414.24 = 5,640.67 : x
  2. Step 2: Convert to fraction form
    8,996.05/12,414.24 = 5,640.67/x
  3. Step 3: Cross multiply
    8,996.05x = 12,414.24 × 5,640.67
  4. Step 4: Simplify right side
    8,996.05x = 70,024,631.14
  5. Step 5: Solve for x
    x = 70,024,631.14/8,996.05
  6. Step 6: Final answer
    x = 7,783.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.