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Finding the Fourth Proportional to 11,891.81, 16,400.45 and 7,410.89

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Solution

The fourth proportional to 11,891.81, 16,400.45 and 7,410.89 is: 10,220.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.81 : 16,400.45 = 7,410.89 : x
  2. Step 2: Convert to fraction form
    11,891.81/16,400.45 = 7,410.89/x
  3. Step 3: Cross multiply
    11,891.81x = 16,400.45 × 7,410.89
  4. Step 4: Simplify right side
    11,891.81x = 121,541,930.90
  5. Step 5: Solve for x
    x = 121,541,930.90/11,891.81
  6. Step 6: Final answer
    x = 10,220.64

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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.