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Finding the Fourth Proportional to 25,057.96, 37,580.73 and 7,288.09

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Solution

The fourth proportional to 25,057.96, 37,580.73 and 7,288.09 is: 10,930.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,057.96 : 37,580.73 = 7,288.09 : x
  2. Step 2: Convert to fraction form
    25,057.96/37,580.73 = 7,288.09/x
  3. Step 3: Cross multiply
    25,057.96x = 37,580.73 × 7,288.09
  4. Step 4: Simplify right side
    25,057.96x = 273,891,742.51
  5. Step 5: Solve for x
    x = 273,891,742.51/25,057.96
  6. Step 6: Final answer
    x = 10,930.33

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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.