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Finding the Fourth Proportional to 11,513.22, 15,886.82 and 7,262.67

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Solution

The fourth proportional to 11,513.22, 15,886.82 and 7,262.67 is: 10,021.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,513.22 : 15,886.82 = 7,262.67 : x
  2. Step 2: Convert to fraction form
    11,513.22/15,886.82 = 7,262.67/x
  3. Step 3: Cross multiply
    11,513.22x = 15,886.82 × 7,262.67
  4. Step 4: Simplify right side
    11,513.22x = 115,380,694.70
  5. Step 5: Solve for x
    x = 115,380,694.70/11,513.22
  6. Step 6: Final answer
    x = 10,021.58

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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.