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Finding the Fourth Proportional to 11,340.38, 17,009.64 and 7,168.22

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Solution

The fourth proportional to 11,340.38, 17,009.64 and 7,168.22 is: 10,751.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,340.38 : 17,009.64 = 7,168.22 : x
  2. Step 2: Convert to fraction form
    11,340.38/17,009.64 = 7,168.22/x
  3. Step 3: Cross multiply
    11,340.38x = 17,009.64 × 7,168.22
  4. Step 4: Simplify right side
    11,340.38x = 121,928,756.59
  5. Step 5: Solve for x
    x = 121,928,756.59/11,340.38
  6. Step 6: Final answer
    x = 10,751.74

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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.