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Finding the Fourth Proportional to 10,697.89, 16,048.74 and 3,676.09

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Solution

The fourth proportional to 10,697.89, 16,048.74 and 3,676.09 is: 5,514.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.89 : 16,048.74 = 3,676.09 : x
  2. Step 2: Convert to fraction form
    10,697.89/16,048.74 = 3,676.09/x
  3. Step 3: Cross multiply
    10,697.89x = 16,048.74 × 3,676.09
  4. Step 4: Simplify right side
    10,697.89x = 58,996,612.63
  5. Step 5: Solve for x
    x = 58,996,612.63/10,697.89
  6. Step 6: Final answer
    x = 5,514.79

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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.