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Finding the Fourth Proportional to 7,072.32, 9,755.49 and 5,085.57

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Solution

The fourth proportional to 7,072.32, 9,755.49 and 5,085.57 is: 7,014.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072.32 : 9,755.49 = 5,085.57 : x
  2. Step 2: Convert to fraction form
    7,072.32/9,755.49 = 5,085.57/x
  3. Step 3: Cross multiply
    7,072.32x = 9,755.49 × 5,085.57
  4. Step 4: Simplify right side
    7,072.32x = 49,612,227.28
  5. Step 5: Solve for x
    x = 49,612,227.28/7,072.32
  6. Step 6: Final answer
    x = 7,014.99

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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.