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Finding the Fourth Proportional to 8,414.64, 11,543.73 and 7,912.08

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Solution

The fourth proportional to 8,414.64, 11,543.73 and 7,912.08 is: 10,854.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.64 : 11,543.73 = 7,912.08 : x
  2. Step 2: Convert to fraction form
    8,414.64/11,543.73 = 7,912.08/x
  3. Step 3: Cross multiply
    8,414.64x = 11,543.73 × 7,912.08
  4. Step 4: Simplify right side
    8,414.64x = 91,334,915.26
  5. Step 5: Solve for x
    x = 91,334,915.26/8,414.64
  6. Step 6: Final answer
    x = 10,854.29

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.