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Finding the Fourth Proportional to 7,704.37, 11,553.45 and 2,959.84

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Solution

The fourth proportional to 7,704.37, 11,553.45 and 2,959.84 is: 4,438.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.37 : 11,553.45 = 2,959.84 : x
  2. Step 2: Convert to fraction form
    7,704.37/11,553.45 = 2,959.84/x
  3. Step 3: Cross multiply
    7,704.37x = 11,553.45 × 2,959.84
  4. Step 4: Simplify right side
    7,704.37x = 34,196,363.45
  5. Step 5: Solve for x
    x = 34,196,363.45/7,704.37
  6. Step 6: Final answer
    x = 4,438.57

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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.