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Finding the Fourth Proportional to 11,537.85, 15,806.91 and 11,105.91

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Solution

The fourth proportional to 11,537.85, 15,806.91 and 11,105.91 is: 15,215.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537.85 : 15,806.91 = 11,105.91 : x
  2. Step 2: Convert to fraction form
    11,537.85/15,806.91 = 11,105.91/x
  3. Step 3: Cross multiply
    11,537.85x = 15,806.91 × 11,105.91
  4. Step 4: Simplify right side
    11,537.85x = 175,550,119.84
  5. Step 5: Solve for x
    x = 175,550,119.84/11,537.85
  6. Step 6: Final answer
    x = 15,215.15

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.