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Finding the Fourth Proportional to 11,783.03, 17,659.96 and 5,936.45

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Solution

The fourth proportional to 11,783.03, 17,659.96 and 5,936.45 is: 8,897.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.03 : 17,659.96 = 5,936.45 : x
  2. Step 2: Convert to fraction form
    11,783.03/17,659.96 = 5,936.45/x
  3. Step 3: Cross multiply
    11,783.03x = 17,659.96 × 5,936.45
  4. Step 4: Simplify right side
    11,783.03x = 104,837,366.40
  5. Step 5: Solve for x
    x = 104,837,366.40/11,783.03
  6. Step 6: Final answer
    x = 8,897.32

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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.