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Finding the Fourth Proportional to 7,563.71, 11,338.27 and 3,867.68

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Solution

The fourth proportional to 7,563.71, 11,338.27 and 3,867.68 is: 5,797.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563.71 : 11,338.27 = 3,867.68 : x
  2. Step 2: Convert to fraction form
    7,563.71/11,338.27 = 3,867.68/x
  3. Step 3: Cross multiply
    7,563.71x = 11,338.27 × 3,867.68
  4. Step 4: Simplify right side
    7,563.71x = 43,852,800.11
  5. Step 5: Solve for x
    x = 43,852,800.11/7,563.71
  6. Step 6: Final answer
    x = 5,797.79

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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.