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Finding the Fourth Proportional to 10,872.02, 16,308.03 and 5,676.68

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Solution

The fourth proportional to 10,872.02, 16,308.03 and 5,676.68 is: 8,515.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.02 : 16,308.03 = 5,676.68 : x
  2. Step 2: Convert to fraction form
    10,872.02/16,308.03 = 5,676.68/x
  3. Step 3: Cross multiply
    10,872.02x = 16,308.03 × 5,676.68
  4. Step 4: Simplify right side
    10,872.02x = 92,575,467.74
  5. Step 5: Solve for x
    x = 92,575,467.74/10,872.02
  6. Step 6: Final answer
    x = 8,515.02

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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.