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Finding the Fourth Proportional to 11,527.90, 17,301.09 and 5,982.85

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Solution

The fourth proportional to 11,527.90, 17,301.09 and 5,982.85 is: 8,979.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,527.90 : 17,301.09 = 5,982.85 : x
  2. Step 2: Convert to fraction form
    11,527.90/17,301.09 = 5,982.85/x
  3. Step 3: Cross multiply
    11,527.90x = 17,301.09 × 5,982.85
  4. Step 4: Simplify right side
    11,527.90x = 103,509,826.31
  5. Step 5: Solve for x
    x = 103,509,826.31/11,527.90
  6. Step 6: Final answer
    x = 8,979.07

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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.