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Finding the Fourth Proportional to 7,057.26, 10,588.62 and 5,223.84

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Solution

The fourth proportional to 7,057.26, 10,588.62 and 5,223.84 is: 7,837.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.26 : 10,588.62 = 5,223.84 : x
  2. Step 2: Convert to fraction form
    7,057.26/10,588.62 = 5,223.84/x
  3. Step 3: Cross multiply
    7,057.26x = 10,588.62 × 5,223.84
  4. Step 4: Simplify right side
    7,057.26x = 55,313,256.70
  5. Step 5: Solve for x
    x = 55,313,256.70/7,057.26
  6. Step 6: Final answer
    x = 7,837.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.