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Finding the Fourth Proportional to 8,096.94, 11,176.10 and 5,264.36

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Solution

The fourth proportional to 8,096.94, 11,176.10 and 5,264.36 is: 7,266.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.94 : 11,176.10 = 5,264.36 : x
  2. Step 2: Convert to fraction form
    8,096.94/11,176.10 = 5,264.36/x
  3. Step 3: Cross multiply
    8,096.94x = 11,176.10 × 5,264.36
  4. Step 4: Simplify right side
    8,096.94x = 58,835,013.80
  5. Step 5: Solve for x
    x = 58,835,013.80/8,096.94
  6. Step 6: Final answer
    x = 7,266.33

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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.