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Finding the Fourth Proportional to 11,804.64, 16,284.96 and 7,614.24

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Solution

The fourth proportional to 11,804.64, 16,284.96 and 7,614.24 is: 10,504.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.64 : 16,284.96 = 7,614.24 : x
  2. Step 2: Convert to fraction form
    11,804.64/16,284.96 = 7,614.24/x
  3. Step 3: Cross multiply
    11,804.64x = 16,284.96 × 7,614.24
  4. Step 4: Simplify right side
    11,804.64x = 123,997,593.83
  5. Step 5: Solve for x
    x = 123,997,593.83/11,804.64
  6. Step 6: Final answer
    x = 10,504.14

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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.