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Finding the Fourth Proportional to 11,622.15, 16,051.68 and 7,838.73

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Solution

The fourth proportional to 11,622.15, 16,051.68 and 7,838.73 is: 10,826.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,622.15 : 16,051.68 = 7,838.73 : x
  2. Step 2: Convert to fraction form
    11,622.15/16,051.68 = 7,838.73/x
  3. Step 3: Cross multiply
    11,622.15x = 16,051.68 × 7,838.73
  4. Step 4: Simplify right side
    11,622.15x = 125,824,785.57
  5. Step 5: Solve for x
    x = 125,824,785.57/11,622.15
  6. Step 6: Final answer
    x = 10,826.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.