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Finding the Fourth Proportional to 7,010.26, 9,674.84 and 5,238.80

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Solution

The fourth proportional to 7,010.26, 9,674.84 and 5,238.80 is: 7,230.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,010.26 : 9,674.84 = 5,238.80 : x
  2. Step 2: Convert to fraction form
    7,010.26/9,674.84 = 5,238.80/x
  3. Step 3: Cross multiply
    7,010.26x = 9,674.84 × 5,238.80
  4. Step 4: Simplify right side
    7,010.26x = 50,684,551.79
  5. Step 5: Solve for x
    x = 50,684,551.79/7,010.26
  6. Step 6: Final answer
    x = 7,230.05

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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.