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Finding the Fourth Proportional to 25,163.15, 37,748.75 and 7,628.85

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Solution

The fourth proportional to 25,163.15, 37,748.75 and 7,628.85 is: 11,444.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,163.15 : 37,748.75 = 7,628.85 : x
  2. Step 2: Convert to fraction form
    25,163.15/37,748.75 = 7,628.85/x
  3. Step 3: Cross multiply
    25,163.15x = 37,748.75 × 7,628.85
  4. Step 4: Simplify right side
    25,163.15x = 287,979,513.29
  5. Step 5: Solve for x
    x = 287,979,513.29/25,163.15
  6. Step 6: Final answer
    x = 11,444.50

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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.