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Finding the Fourth Proportional to 7,120.54, 9,826.41 and 4,136.50

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Solution

The fourth proportional to 7,120.54, 9,826.41 and 4,136.50 is: 5,708.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,120.54 : 9,826.41 = 4,136.50 : x
  2. Step 2: Convert to fraction form
    7,120.54/9,826.41 = 4,136.50/x
  3. Step 3: Cross multiply
    7,120.54x = 9,826.41 × 4,136.50
  4. Step 4: Simplify right side
    7,120.54x = 40,646,944.97
  5. Step 5: Solve for x
    x = 40,646,944.97/7,120.54
  6. Step 6: Final answer
    x = 5,708.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.