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Finding the Fourth Proportional to 11,942.60, 16,480 and 7,466.12

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Solution

The fourth proportional to 11,942.60, 16,480 and 7,466.12 is: 10,302.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,942.60 : 16,480 = 7,466.12 : x
  2. Step 2: Convert to fraction form
    11,942.60/16,480 = 7,466.12/x
  3. Step 3: Cross multiply
    11,942.60x = 16,480 × 7,466.12
  4. Step 4: Simplify right side
    11,942.60x = 123,041,657.60
  5. Step 5: Solve for x
    x = 123,041,657.60/11,942.60
  6. Step 6: Final answer
    x = 10,302.75

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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.