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Finding the Fourth Proportional to 10,212.26, 15,290.84 and 7,085.66

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Solution

The fourth proportional to 10,212.26, 15,290.84 and 7,085.66 is: 10,609.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,212.26 : 15,290.84 = 7,085.66 : x
  2. Step 2: Convert to fraction form
    10,212.26/15,290.84 = 7,085.66/x
  3. Step 3: Cross multiply
    10,212.26x = 15,290.84 × 7,085.66
  4. Step 4: Simplify right side
    10,212.26x = 108,345,634.61
  5. Step 5: Solve for x
    x = 108,345,634.61/10,212.26
  6. Step 6: Final answer
    x = 10,609.37

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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.