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Finding the Fourth Proportional to 11,756.34, 17,608.59 and 7,129.62

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Solution

The fourth proportional to 11,756.34, 17,608.59 and 7,129.62 is: 10,678.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.34 : 17,608.59 = 7,129.62 : x
  2. Step 2: Convert to fraction form
    11,756.34/17,608.59 = 7,129.62/x
  3. Step 3: Cross multiply
    11,756.34x = 17,608.59 × 7,129.62
  4. Step 4: Simplify right side
    11,756.34x = 125,542,555.44
  5. Step 5: Solve for x
    x = 125,542,555.44/11,756.34
  6. Step 6: Final answer
    x = 10,678.71

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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.