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Finding the Fourth Proportional to 11,929.26, 16,467.97 and 7,459.58

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Solution

The fourth proportional to 11,929.26, 16,467.97 and 7,459.58 is: 10,297.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,929.26 : 16,467.97 = 7,459.58 : x
  2. Step 2: Convert to fraction form
    11,929.26/16,467.97 = 7,459.58/x
  3. Step 3: Cross multiply
    11,929.26x = 16,467.97 × 7,459.58
  4. Step 4: Simplify right side
    11,929.26x = 122,844,139.65
  5. Step 5: Solve for x
    x = 122,844,139.65/11,929.26
  6. Step 6: Final answer
    x = 10,297.72

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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.