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Finding the Fourth Proportional to 7,904.44, 11,865 and 3,524.92

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Solution

The fourth proportional to 7,904.44, 11,865 and 3,524.92 is: 5,291.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,904.44 : 11,865 = 3,524.92 : x
  2. Step 2: Convert to fraction form
    7,904.44/11,865 = 3,524.92/x
  3. Step 3: Cross multiply
    7,904.44x = 11,865 × 3,524.92
  4. Step 4: Simplify right side
    7,904.44x = 41,823,175.80
  5. Step 5: Solve for x
    x = 41,823,175.80/7,904.44
  6. Step 6: Final answer
    x = 5,291.10

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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.