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Finding the Fourth Proportional to 10,650.35, 15,976.51 and 3,628.00

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Solution

The fourth proportional to 10,650.35, 15,976.51 and 3,628.00 is: 5,442.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650.35 : 15,976.51 = 3,628.00 : x
  2. Step 2: Convert to fraction form
    10,650.35/15,976.51 = 3,628.00/x
  3. Step 3: Cross multiply
    10,650.35x = 15,976.51 × 3,628.00
  4. Step 4: Simplify right side
    10,650.35x = 57,962,789.18
  5. Step 5: Solve for x
    x = 57,962,789.18/10,650.35
  6. Step 6: Final answer
    x = 5,442.34

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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.