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Finding the Fourth Proportional to 11,026.33, 15,222.67 and 7,260.44

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Solution

The fourth proportional to 11,026.33, 15,222.67 and 7,260.44 is: 10,023.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,026.33 : 15,222.67 = 7,260.44 : x
  2. Step 2: Convert to fraction form
    11,026.33/15,222.67 = 7,260.44/x
  3. Step 3: Cross multiply
    11,026.33x = 15,222.67 × 7,260.44
  4. Step 4: Simplify right side
    11,026.33x = 110,523,187.91
  5. Step 5: Solve for x
    x = 110,523,187.91/11,026.33
  6. Step 6: Final answer
    x = 10,023.57

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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.