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Finding the Fourth Proportional to 7,704.72, 11,556.18 and 2,158.51

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Solution

The fourth proportional to 7,704.72, 11,556.18 and 2,158.51 is: 3,237.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.72 : 11,556.18 = 2,158.51 : x
  2. Step 2: Convert to fraction form
    7,704.72/11,556.18 = 2,158.51/x
  3. Step 3: Cross multiply
    7,704.72x = 11,556.18 × 2,158.51
  4. Step 4: Simplify right side
    7,704.72x = 24,944,130.09
  5. Step 5: Solve for x
    x = 24,944,130.09/7,704.72
  6. Step 6: Final answer
    x = 3,237.51

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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.