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Finding the Fourth Proportional to 8,272.64, 11,415.93 and 4,736.18

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Solution

The fourth proportional to 8,272.64, 11,415.93 and 4,736.18 is: 6,535.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.64 : 11,415.93 = 4,736.18 : x
  2. Step 2: Convert to fraction form
    8,272.64/11,415.93 = 4,736.18/x
  3. Step 3: Cross multiply
    8,272.64x = 11,415.93 × 4,736.18
  4. Step 4: Simplify right side
    8,272.64x = 54,067,899.35
  5. Step 5: Solve for x
    x = 54,067,899.35/8,272.64
  6. Step 6: Final answer
    x = 6,535.75

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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.