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Finding the Fourth Proportional to 8,272.80, 11,415.60 and 4,736.16

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Solution

The fourth proportional to 8,272.80, 11,415.60 and 4,736.16 is: 6,535.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.80 : 11,415.60 = 4,736.16 : x
  2. Step 2: Convert to fraction form
    8,272.80/11,415.60 = 4,736.16/x
  3. Step 3: Cross multiply
    8,272.80x = 11,415.60 × 4,736.16
  4. Step 4: Simplify right side
    8,272.80x = 54,066,108.10
  5. Step 5: Solve for x
    x = 54,066,108.10/8,272.80
  6. Step 6: Final answer
    x = 6,535.41

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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.