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Finding the Fourth Proportional to 7,383.83, 11,077.83 and 3,004.43

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Solution

The fourth proportional to 7,383.83, 11,077.83 and 3,004.43 is: 4,507.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,383.83 : 11,077.83 = 3,004.43 : x
  2. Step 2: Convert to fraction form
    7,383.83/11,077.83 = 3,004.43/x
  3. Step 3: Cross multiply
    7,383.83x = 11,077.83 × 3,004.43
  4. Step 4: Simplify right side
    7,383.83x = 33,282,509.40
  5. Step 5: Solve for x
    x = 33,282,509.40/7,383.83
  6. Step 6: Final answer
    x = 4,507.49

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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.