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Finding the Fourth Proportional to 8,219.64, 11,348.32 and 5,077.64

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Solution

The fourth proportional to 8,219.64, 11,348.32 and 5,077.64 is: 7,010.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.64 : 11,348.32 = 5,077.64 : x
  2. Step 2: Convert to fraction form
    8,219.64/11,348.32 = 5,077.64/x
  3. Step 3: Cross multiply
    8,219.64x = 11,348.32 × 5,077.64
  4. Step 4: Simplify right side
    8,219.64x = 57,622,683.56
  5. Step 5: Solve for x
    x = 57,622,683.56/8,219.64
  6. Step 6: Final answer
    x = 7,010.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.