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Finding the Fourth Proportional to 7,829.21, 11,743.01 and 7,372.37

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Solution

The fourth proportional to 7,829.21, 11,743.01 and 7,372.37 is: 11,057.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.21 : 11,743.01 = 7,372.37 : x
  2. Step 2: Convert to fraction form
    7,829.21/11,743.01 = 7,372.37/x
  3. Step 3: Cross multiply
    7,829.21x = 11,743.01 × 7,372.37
  4. Step 4: Simplify right side
    7,829.21x = 86,573,834.78
  5. Step 5: Solve for x
    x = 86,573,834.78/7,829.21
  6. Step 6: Final answer
    x = 11,057.80

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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.