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Finding the Fourth Proportional to 10,959.24, 16,438.71 and 7,440.54

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Solution

The fourth proportional to 10,959.24, 16,438.71 and 7,440.54 is: 11,160.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,959.24 : 16,438.71 = 7,440.54 : x
  2. Step 2: Convert to fraction form
    10,959.24/16,438.71 = 7,440.54/x
  3. Step 3: Cross multiply
    10,959.24x = 16,438.71 × 7,440.54
  4. Step 4: Simplify right side
    10,959.24x = 122,312,879.30
  5. Step 5: Solve for x
    x = 122,312,879.30/10,959.24
  6. Step 6: Final answer
    x = 11,160.71

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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.