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Finding the Fourth Proportional to 11,765.64, 17,641.44 and 3,973.44

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Solution

The fourth proportional to 11,765.64, 17,641.44 and 3,973.44 is: 5,957.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.64 : 17,641.44 = 3,973.44 : x
  2. Step 2: Convert to fraction form
    11,765.64/17,641.44 = 3,973.44/x
  3. Step 3: Cross multiply
    11,765.64x = 17,641.44 × 3,973.44
  4. Step 4: Simplify right side
    11,765.64x = 70,097,203.35
  5. Step 5: Solve for x
    x = 70,097,203.35/11,765.64
  6. Step 6: Final answer
    x = 5,957.79

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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.