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Finding the Fourth Proportional to 11,769.78, 16,242.72 and 7,053.14

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Solution

The fourth proportional to 11,769.78, 16,242.72 and 7,053.14 is: 9,733.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,769.78 : 16,242.72 = 7,053.14 : x
  2. Step 2: Convert to fraction form
    11,769.78/16,242.72 = 7,053.14/x
  3. Step 3: Cross multiply
    11,769.78x = 16,242.72 × 7,053.14
  4. Step 4: Simplify right side
    11,769.78x = 114,562,178.14
  5. Step 5: Solve for x
    x = 114,562,178.14/11,769.78
  6. Step 6: Final answer
    x = 9,733.59

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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.