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Finding the Fourth Proportional to 7,704.06, 11,556.10 and 2,509.94

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Solution

The fourth proportional to 7,704.06, 11,556.10 and 2,509.94 is: 3,764.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.06 : 11,556.10 = 2,509.94 : x
  2. Step 2: Convert to fraction form
    7,704.06/11,556.10 = 2,509.94/x
  3. Step 3: Cross multiply
    7,704.06x = 11,556.10 × 2,509.94
  4. Step 4: Simplify right side
    7,704.06x = 29,005,117.63
  5. Step 5: Solve for x
    x = 29,005,117.63/7,704.06
  6. Step 6: Final answer
    x = 3,764.91

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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.