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Finding the Fourth Proportional to 11,648.88, 17,447.03 and 5,395.76

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Solution

The fourth proportional to 11,648.88, 17,447.03 and 5,395.76 is: 8,081.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.88 : 17,447.03 = 5,395.76 : x
  2. Step 2: Convert to fraction form
    11,648.88/17,447.03 = 5,395.76/x
  3. Step 3: Cross multiply
    11,648.88x = 17,447.03 × 5,395.76
  4. Step 4: Simplify right side
    11,648.88x = 94,139,912.85
  5. Step 5: Solve for x
    x = 94,139,912.85/11,648.88
  6. Step 6: Final answer
    x = 8,081.46

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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.