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Finding the Fourth Proportional to 7,704.03, 11,546.77 and 3,538.29

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Solution

The fourth proportional to 7,704.03, 11,546.77 and 3,538.29 is: 5,303.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.03 : 11,546.77 = 3,538.29 : x
  2. Step 2: Convert to fraction form
    7,704.03/11,546.77 = 3,538.29/x
  3. Step 3: Cross multiply
    7,704.03x = 11,546.77 × 3,538.29
  4. Step 4: Simplify right side
    7,704.03x = 40,855,820.82
  5. Step 5: Solve for x
    x = 40,855,820.82/7,704.03
  6. Step 6: Final answer
    x = 5,303.18

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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.