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Finding the Fourth Proportional to 11,965, 17,956.82 and 4,574.70

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Solution

The fourth proportional to 11,965, 17,956.82 and 4,574.70 is: 6,865.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,965 : 17,956.82 = 4,574.70 : x
  2. Step 2: Convert to fraction form
    11,965/17,956.82 = 4,574.70/x
  3. Step 3: Cross multiply
    11,965x = 17,956.82 × 4,574.70
  4. Step 4: Simplify right side
    11,965x = 82,147,064.45
  5. Step 5: Solve for x
    x = 82,147,064.45/11,965
  6. Step 6: Final answer
    x = 6,865.61

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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.