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Finding the Fourth Proportional to 11,788.57, 17,687.66 and 7,576.54

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Solution

The fourth proportional to 11,788.57, 17,687.66 and 7,576.54 is: 11,367.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,788.57 : 17,687.66 = 7,576.54 : x
  2. Step 2: Convert to fraction form
    11,788.57/17,687.66 = 7,576.54/x
  3. Step 3: Cross multiply
    11,788.57x = 17,687.66 × 7,576.54
  4. Step 4: Simplify right side
    11,788.57x = 134,011,263.50
  5. Step 5: Solve for x
    x = 134,011,263.50/11,788.57
  6. Step 6: Final answer
    x = 11,367.90

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Why These Related Problems?

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