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Finding the Fourth Proportional to 7,108.02, 9,809.74 and 4,083.57

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Solution

The fourth proportional to 7,108.02, 9,809.74 and 4,083.57 is: 5,635.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,108.02 : 9,809.74 = 4,083.57 : x
  2. Step 2: Convert to fraction form
    7,108.02/9,809.74 = 4,083.57/x
  3. Step 3: Cross multiply
    7,108.02x = 9,809.74 × 4,083.57
  4. Step 4: Simplify right side
    7,108.02x = 40,058,759.97
  5. Step 5: Solve for x
    x = 40,058,759.97/7,108.02
  6. Step 6: Final answer
    x = 5,635.71

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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.