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Finding the Fourth Proportional to 7,138.80, 9,857.80 and 4,490.80

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Solution

The fourth proportional to 7,138.80, 9,857.80 and 4,490.80 is: 6,201.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.80 : 9,857.80 = 4,490.80 : x
  2. Step 2: Convert to fraction form
    7,138.80/9,857.80 = 4,490.80/x
  3. Step 3: Cross multiply
    7,138.80x = 9,857.80 × 4,490.80
  4. Step 4: Simplify right side
    7,138.80x = 44,269,408.24
  5. Step 5: Solve for x
    x = 44,269,408.24/7,138.80
  6. Step 6: Final answer
    x = 6,201.24

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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.