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Finding the Fourth Proportional to 8,376.62, 12,565.20 and 4,214.36

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Solution

The fourth proportional to 8,376.62, 12,565.20 and 4,214.36 is: 6,321.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,376.62 : 12,565.20 = 4,214.36 : x
  2. Step 2: Convert to fraction form
    8,376.62/12,565.20 = 4,214.36/x
  3. Step 3: Cross multiply
    8,376.62x = 12,565.20 × 4,214.36
  4. Step 4: Simplify right side
    8,376.62x = 52,954,213.45
  5. Step 5: Solve for x
    x = 52,954,213.45/8,376.62
  6. Step 6: Final answer
    x = 6,321.67

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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.