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Finding the Fourth Proportional to 11,769.00, 16,241.14 and 7,053.28

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Solution

The fourth proportional to 11,769.00, 16,241.14 and 7,053.28 is: 9,733.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,769.00 : 16,241.14 = 7,053.28 : x
  2. Step 2: Convert to fraction form
    11,769.00/16,241.14 = 7,053.28/x
  3. Step 3: Cross multiply
    11,769.00x = 16,241.14 × 7,053.28
  4. Step 4: Simplify right side
    11,769.00x = 114,553,276.15
  5. Step 5: Solve for x
    x = 114,553,276.15/11,769.00
  6. Step 6: Final answer
    x = 9,733.48

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Why These Related Problems?

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