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Finding the Fourth Proportional to 11,973.57, 17,960.34 and 3,765.57

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Solution

The fourth proportional to 11,973.57, 17,960.34 and 3,765.57 is: 5,648.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,973.57 : 17,960.34 = 3,765.57 : x
  2. Step 2: Convert to fraction form
    11,973.57/17,960.34 = 3,765.57/x
  3. Step 3: Cross multiply
    11,973.57x = 17,960.34 × 3,765.57
  4. Step 4: Simplify right side
    11,973.57x = 67,630,917.49
  5. Step 5: Solve for x
    x = 67,630,917.49/11,973.57
  6. Step 6: Final answer
    x = 5,648.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.