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Finding the Fourth Proportional to 11,689.72, 17,534.94 and 5,112.52

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Solution

The fourth proportional to 11,689.72, 17,534.94 and 5,112.52 is: 7,668.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689.72 : 17,534.94 = 5,112.52 : x
  2. Step 2: Convert to fraction form
    11,689.72/17,534.94 = 5,112.52/x
  3. Step 3: Cross multiply
    11,689.72x = 17,534.94 × 5,112.52
  4. Step 4: Simplify right side
    11,689.72x = 89,647,731.45
  5. Step 5: Solve for x
    x = 89,647,731.45/11,689.72
  6. Step 6: Final answer
    x = 7,668.94

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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.