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Finding the Fourth Proportional to 11,783.27, 16,255.35 and 7,305.39

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Solution

The fourth proportional to 11,783.27, 16,255.35 and 7,305.39 is: 10,077.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.27 : 16,255.35 = 7,305.39 : x
  2. Step 2: Convert to fraction form
    11,783.27/16,255.35 = 7,305.39/x
  3. Step 3: Cross multiply
    11,783.27x = 16,255.35 × 7,305.39
  4. Step 4: Simplify right side
    11,783.27x = 118,751,671.34
  5. Step 5: Solve for x
    x = 118,751,671.34/11,783.27
  6. Step 6: Final answer
    x = 10,077.99

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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.