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Finding the Fourth Proportional to 11,689.30, 17,524.08 and 5,110.48

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Solution

The fourth proportional to 11,689.30, 17,524.08 and 5,110.48 is: 7,661.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689.30 : 17,524.08 = 5,110.48 : x
  2. Step 2: Convert to fraction form
    11,689.30/17,524.08 = 5,110.48/x
  3. Step 3: Cross multiply
    11,689.30x = 17,524.08 × 5,110.48
  4. Step 4: Simplify right side
    11,689.30x = 89,556,460.36
  5. Step 5: Solve for x
    x = 89,556,460.36/11,689.30
  6. Step 6: Final answer
    x = 7,661.40

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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.