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Finding the Fourth Proportional to 7,230.87, 9,980.57 and 5,237.64

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Solution

The fourth proportional to 7,230.87, 9,980.57 and 5,237.64 is: 7,229.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230.87 : 9,980.57 = 5,237.64 : x
  2. Step 2: Convert to fraction form
    7,230.87/9,980.57 = 5,237.64/x
  3. Step 3: Cross multiply
    7,230.87x = 9,980.57 × 5,237.64
  4. Step 4: Simplify right side
    7,230.87x = 52,274,606.47
  5. Step 5: Solve for x
    x = 52,274,606.47/7,230.87
  6. Step 6: Final answer
    x = 7,229.37

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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.