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Finding the Fourth Proportional to 10,676.36, 16,014.54 and 2,885.78

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Solution

The fourth proportional to 10,676.36, 16,014.54 and 2,885.78 is: 4,328.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.36 : 16,014.54 = 2,885.78 : x
  2. Step 2: Convert to fraction form
    10,676.36/16,014.54 = 2,885.78/x
  3. Step 3: Cross multiply
    10,676.36x = 16,014.54 × 2,885.78
  4. Step 4: Simplify right side
    10,676.36x = 46,214,439.24
  5. Step 5: Solve for x
    x = 46,214,439.24/10,676.36
  6. Step 6: Final answer
    x = 4,328.67

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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.