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Finding the Fourth Proportional to 12,164.85, 16,788.47 and 6,860.16

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Solution

The fourth proportional to 12,164.85, 16,788.47 and 6,860.16 is: 9,467.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.85 : 16,788.47 = 6,860.16 : x
  2. Step 2: Convert to fraction form
    12,164.85/16,788.47 = 6,860.16/x
  3. Step 3: Cross multiply
    12,164.85x = 16,788.47 × 6,860.16
  4. Step 4: Simplify right side
    12,164.85x = 115,171,556.05
  5. Step 5: Solve for x
    x = 115,171,556.05/12,164.85
  6. Step 6: Final answer
    x = 9,467.57

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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.