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Finding the Fourth Proportional to 11,689.89, 17,540.30 and 6,763.67

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Solution

The fourth proportional to 11,689.89, 17,540.30 and 6,763.67 is: 10,148.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689.89 : 17,540.30 = 6,763.67 : x
  2. Step 2: Convert to fraction form
    11,689.89/17,540.30 = 6,763.67/x
  3. Step 3: Cross multiply
    11,689.89x = 17,540.30 × 6,763.67
  4. Step 4: Simplify right side
    11,689.89x = 118,636,757.84
  5. Step 5: Solve for x
    x = 118,636,757.84/11,689.89
  6. Step 6: Final answer
    x = 10,148.67

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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.