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Finding the Fourth Proportional to 7,704.32, 11,556.51 and 3,026.53

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Solution

The fourth proportional to 7,704.32, 11,556.51 and 3,026.53 is: 4,539.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.32 : 11,556.51 = 3,026.53 : x
  2. Step 2: Convert to fraction form
    7,704.32/11,556.51 = 3,026.53/x
  3. Step 3: Cross multiply
    7,704.32x = 11,556.51 × 3,026.53
  4. Step 4: Simplify right side
    7,704.32x = 34,976,127.31
  5. Step 5: Solve for x
    x = 34,976,127.31/7,704.32
  6. Step 6: Final answer
    x = 4,539.81

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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.