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Finding the Fourth Proportional to 11,780.32, 17,659.50 and 3,983.72

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Solution

The fourth proportional to 11,780.32, 17,659.50 and 3,983.72 is: 5,971.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.32 : 17,659.50 = 3,983.72 : x
  2. Step 2: Convert to fraction form
    11,780.32/17,659.50 = 3,983.72/x
  3. Step 3: Cross multiply
    11,780.32x = 17,659.50 × 3,983.72
  4. Step 4: Simplify right side
    11,780.32x = 70,350,503.34
  5. Step 5: Solve for x
    x = 70,350,503.34/11,780.32
  6. Step 6: Final answer
    x = 5,971.87

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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.