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Finding the Fourth Proportional to 7,648.94, 11,469.62 and 2,717.84

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Solution

The fourth proportional to 7,648.94, 11,469.62 and 2,717.84 is: 4,075.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.94 : 11,469.62 = 2,717.84 : x
  2. Step 2: Convert to fraction form
    7,648.94/11,469.62 = 2,717.84/x
  3. Step 3: Cross multiply
    7,648.94x = 11,469.62 × 2,717.84
  4. Step 4: Simplify right side
    7,648.94x = 31,172,592.02
  5. Step 5: Solve for x
    x = 31,172,592.02/7,648.94
  6. Step 6: Final answer
    x = 4,075.41

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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.