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Finding the Fourth Proportional to 7,704.47, 11,551.49 and 3,021.55

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Solution

The fourth proportional to 7,704.47, 11,551.49 and 3,021.55 is: 4,530.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.47 : 11,551.49 = 3,021.55 : x
  2. Step 2: Convert to fraction form
    7,704.47/11,551.49 = 3,021.55/x
  3. Step 3: Cross multiply
    7,704.47x = 11,551.49 × 3,021.55
  4. Step 4: Simplify right side
    7,704.47x = 34,903,331.74
  5. Step 5: Solve for x
    x = 34,903,331.74/7,704.47
  6. Step 6: Final answer
    x = 4,530.27

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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.