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Finding the Fourth Proportional to 11,085.44, 15,299.38 and 7,052.66

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Solution

The fourth proportional to 11,085.44, 15,299.38 and 7,052.66 is: 9,733.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,085.44 : 15,299.38 = 7,052.66 : x
  2. Step 2: Convert to fraction form
    11,085.44/15,299.38 = 7,052.66/x
  3. Step 3: Cross multiply
    11,085.44x = 15,299.38 × 7,052.66
  4. Step 4: Simplify right side
    11,085.44x = 107,901,325.35
  5. Step 5: Solve for x
    x = 107,901,325.35/11,085.44
  6. Step 6: Final answer
    x = 9,733.61

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Why These Related Problems?

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