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Finding the Fourth Proportional to 8,261.41, 11,397.97 and 5,278.99

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Solution

The fourth proportional to 8,261.41, 11,397.97 and 5,278.99 is: 7,283.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.41 : 11,397.97 = 5,278.99 : x
  2. Step 2: Convert to fraction form
    8,261.41/11,397.97 = 5,278.99/x
  3. Step 3: Cross multiply
    8,261.41x = 11,397.97 × 5,278.99
  4. Step 4: Simplify right side
    8,261.41x = 60,169,769.65
  5. Step 5: Solve for x
    x = 60,169,769.65/8,261.41
  6. Step 6: Final answer
    x = 7,283.23

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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.