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Finding the Fourth Proportional to 8,738.16, 12,055.28 and 5,755.47

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Solution

The fourth proportional to 8,738.16, 12,055.28 and 5,755.47 is: 7,940.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,738.16 : 12,055.28 = 5,755.47 : x
  2. Step 2: Convert to fraction form
    8,738.16/12,055.28 = 5,755.47/x
  3. Step 3: Cross multiply
    8,738.16x = 12,055.28 × 5,755.47
  4. Step 4: Simplify right side
    8,738.16x = 69,383,773.60
  5. Step 5: Solve for x
    x = 69,383,773.60/8,738.16
  6. Step 6: Final answer
    x = 7,940.32

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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.