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Finding the Fourth Proportional to 11,531.96, 17,284.49 and 5,292.63

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Solution

The fourth proportional to 11,531.96, 17,284.49 and 5,292.63 is: 7,932.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,531.96 : 17,284.49 = 5,292.63 : x
  2. Step 2: Convert to fraction form
    11,531.96/17,284.49 = 5,292.63/x
  3. Step 3: Cross multiply
    11,531.96x = 17,284.49 × 5,292.63
  4. Step 4: Simplify right side
    11,531.96x = 91,480,410.31
  5. Step 5: Solve for x
    x = 91,480,410.31/11,531.96
  6. Step 6: Final answer
    x = 7,932.77

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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.