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Finding the Fourth Proportional to 7,648.07, 11,471.02 and 2,453.27

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Solution

The fourth proportional to 7,648.07, 11,471.02 and 2,453.27 is: 3,679.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.07 : 11,471.02 = 2,453.27 : x
  2. Step 2: Convert to fraction form
    7,648.07/11,471.02 = 2,453.27/x
  3. Step 3: Cross multiply
    7,648.07x = 11,471.02 × 2,453.27
  4. Step 4: Simplify right side
    7,648.07x = 28,141,509.24
  5. Step 5: Solve for x
    x = 28,141,509.24/7,648.07
  6. Step 6: Final answer
    x = 3,679.56

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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.