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Finding the Fourth Proportional to 11,769.26, 16,242.44 and 7,293.87

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Solution

The fourth proportional to 11,769.26, 16,242.44 and 7,293.87 is: 10,066.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,769.26 : 16,242.44 = 7,293.87 : x
  2. Step 2: Convert to fraction form
    11,769.26/16,242.44 = 7,293.87/x
  3. Step 3: Cross multiply
    11,769.26x = 16,242.44 × 7,293.87
  4. Step 4: Simplify right side
    11,769.26x = 118,470,209.37
  5. Step 5: Solve for x
    x = 118,470,209.37/11,769.26
  6. Step 6: Final answer
    x = 10,066.08

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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.