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Finding the Fourth Proportional to 10,676.41, 14,738.36 and 8,024.67

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Solution

The fourth proportional to 10,676.41, 14,738.36 and 8,024.67 is: 11,077.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.41 : 14,738.36 = 8,024.67 : x
  2. Step 2: Convert to fraction form
    10,676.41/14,738.36 = 8,024.67/x
  3. Step 3: Cross multiply
    10,676.41x = 14,738.36 × 8,024.67
  4. Step 4: Simplify right side
    10,676.41x = 118,270,435.22
  5. Step 5: Solve for x
    x = 118,270,435.22/10,676.41
  6. Step 6: Final answer
    x = 11,077.74

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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.