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Finding the Fourth Proportional to 11,942.60, 16,477.02 and 7,161.56

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Solution

The fourth proportional to 11,942.60, 16,477.02 and 7,161.56 is: 9,880.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,942.60 : 16,477.02 = 7,161.56 : x
  2. Step 2: Convert to fraction form
    11,942.60/16,477.02 = 7,161.56/x
  3. Step 3: Cross multiply
    11,942.60x = 16,477.02 × 7,161.56
  4. Step 4: Simplify right side
    11,942.60x = 118,001,167.35
  5. Step 5: Solve for x
    x = 118,001,167.35/11,942.60
  6. Step 6: Final answer
    x = 9,880.69

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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.