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Finding the Fourth Proportional to 8,164.51, 11,253.57 and 5,474.80

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Solution

The fourth proportional to 8,164.51, 11,253.57 and 5,474.80 is: 7,546.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.51 : 11,253.57 = 5,474.80 : x
  2. Step 2: Convert to fraction form
    8,164.51/11,253.57 = 5,474.80/x
  3. Step 3: Cross multiply
    8,164.51x = 11,253.57 × 5,474.80
  4. Step 4: Simplify right side
    8,164.51x = 61,611,045.04
  5. Step 5: Solve for x
    x = 61,611,045.04/8,164.51
  6. Step 6: Final answer
    x = 7,546.20

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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.