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Finding the Fourth Proportional to 11,137.68, 16,691.94 and 4,556.16

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Solution

The fourth proportional to 11,137.68, 16,691.94 and 4,556.16 is: 6,828.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,137.68 : 16,691.94 = 4,556.16 : x
  2. Step 2: Convert to fraction form
    11,137.68/16,691.94 = 4,556.16/x
  3. Step 3: Cross multiply
    11,137.68x = 16,691.94 × 4,556.16
  4. Step 4: Simplify right side
    11,137.68x = 76,051,149.35
  5. Step 5: Solve for x
    x = 76,051,149.35/11,137.68
  6. Step 6: Final answer
    x = 6,828.28

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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.