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Finding the Fourth Proportional to 8,214.73, 11,337.50 and 4,678.27

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Solution

The fourth proportional to 8,214.73, 11,337.50 and 4,678.27 is: 6,456.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.73 : 11,337.50 = 4,678.27 : x
  2. Step 2: Convert to fraction form
    8,214.73/11,337.50 = 4,678.27/x
  3. Step 3: Cross multiply
    8,214.73x = 11,337.50 × 4,678.27
  4. Step 4: Simplify right side
    8,214.73x = 53,039,806.05
  5. Step 5: Solve for x
    x = 53,039,806.05/8,214.73
  6. Step 6: Final answer
    x = 6,456.67

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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.