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Finding the Fourth Proportional to 10,940.44, 15,098.46 and 8,283.64

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Solution

The fourth proportional to 10,940.44, 15,098.46 and 8,283.64 is: 11,431.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940.44 : 15,098.46 = 8,283.64 : x
  2. Step 2: Convert to fraction form
    10,940.44/15,098.46 = 8,283.64/x
  3. Step 3: Cross multiply
    10,940.44x = 15,098.46 × 8,283.64
  4. Step 4: Simplify right side
    10,940.44x = 125,070,207.19
  5. Step 5: Solve for x
    x = 125,070,207.19/10,940.44
  6. Step 6: Final answer
    x = 11,431.92

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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.