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Finding the Fourth Proportional to 11,819.34, 16,312.50 and 8,982.10

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Solution

The fourth proportional to 11,819.34, 16,312.50 and 8,982.10 is: 12,396.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,819.34 : 16,312.50 = 8,982.10 : x
  2. Step 2: Convert to fraction form
    11,819.34/16,312.50 = 8,982.10/x
  3. Step 3: Cross multiply
    11,819.34x = 16,312.50 × 8,982.10
  4. Step 4: Simplify right side
    11,819.34x = 146,520,506.25
  5. Step 5: Solve for x
    x = 146,520,506.25/11,819.34
  6. Step 6: Final answer
    x = 12,396.67

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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.