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Finding the Fourth Proportional to 11,431.68, 17,133.84 and 5,887.68

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Solution

The fourth proportional to 11,431.68, 17,133.84 and 5,887.68 is: 8,824.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431.68 : 17,133.84 = 5,887.68 : x
  2. Step 2: Convert to fraction form
    11,431.68/17,133.84 = 5,887.68/x
  3. Step 3: Cross multiply
    11,431.68x = 17,133.84 × 5,887.68
  4. Step 4: Simplify right side
    11,431.68x = 100,878,567.09
  5. Step 5: Solve for x
    x = 100,878,567.09/11,431.68
  6. Step 6: Final answer
    x = 8,824.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.