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Finding the Fourth Proportional to 8,544.24, 11,792.16 and 5,893.20

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Solution

The fourth proportional to 8,544.24, 11,792.16 and 5,893.20 is: 8,133.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,544.24 : 11,792.16 = 5,893.20 : x
  2. Step 2: Convert to fraction form
    8,544.24/11,792.16 = 5,893.20/x
  3. Step 3: Cross multiply
    8,544.24x = 11,792.16 × 5,893.20
  4. Step 4: Simplify right side
    8,544.24x = 69,493,557.31
  5. Step 5: Solve for x
    x = 69,493,557.31/8,544.24
  6. Step 6: Final answer
    x = 8,133.38

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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.