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Finding the Fourth Proportional to 11,720.14, 16,173.65 and 6,414.89

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Solution

The fourth proportional to 11,720.14, 16,173.65 and 6,414.89 is: 8,852.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,720.14 : 16,173.65 = 6,414.89 : x
  2. Step 2: Convert to fraction form
    11,720.14/16,173.65 = 6,414.89/x
  3. Step 3: Cross multiply
    11,720.14x = 16,173.65 × 6,414.89
  4. Step 4: Simplify right side
    11,720.14x = 103,752,120.82
  5. Step 5: Solve for x
    x = 103,752,120.82/11,720.14
  6. Step 6: Final answer
    x = 8,852.47

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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.