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Finding the Fourth Proportional to 8,735.72, 12,057.86 and 5,201.28

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Solution

The fourth proportional to 8,735.72, 12,057.86 and 5,201.28 is: 7,179.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,735.72 : 12,057.86 = 5,201.28 : x
  2. Step 2: Convert to fraction form
    8,735.72/12,057.86 = 5,201.28/x
  3. Step 3: Cross multiply
    8,735.72x = 12,057.86 × 5,201.28
  4. Step 4: Simplify right side
    8,735.72x = 62,716,319.06
  5. Step 5: Solve for x
    x = 62,716,319.06/8,735.72
  6. Step 6: Final answer
    x = 7,179.30

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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.