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Finding the Fourth Proportional to 8,273.41, 11,415 and 4,736.41

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Solution

The fourth proportional to 8,273.41, 11,415 and 4,736.41 is: 6,534.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,273.41 : 11,415 = 4,736.41 : x
  2. Step 2: Convert to fraction form
    8,273.41/11,415 = 4,736.41/x
  3. Step 3: Cross multiply
    8,273.41x = 11,415 × 4,736.41
  4. Step 4: Simplify right side
    8,273.41x = 54,066,120.15
  5. Step 5: Solve for x
    x = 54,066,120.15/8,273.41
  6. Step 6: Final answer
    x = 6,534.93

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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.