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Finding the Fourth Proportional to 8,273.25, 11,417.16 and 4,736.40

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Solution

The fourth proportional to 8,273.25, 11,417.16 and 4,736.40 is: 6,536.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,273.25 : 11,417.16 = 4,736.40 : x
  2. Step 2: Convert to fraction form
    8,273.25/11,417.16 = 4,736.40/x
  3. Step 3: Cross multiply
    8,273.25x = 11,417.16 × 4,736.40
  4. Step 4: Simplify right side
    8,273.25x = 54,076,236.62
  5. Step 5: Solve for x
    x = 54,076,236.62/8,273.25
  6. Step 6: Final answer
    x = 6,536.27

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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.