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Finding the Fourth Proportional to 7,648.08, 11,472.16 and 7,274.96

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Solution

The fourth proportional to 7,648.08, 11,472.16 and 7,274.96 is: 10,912.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.08 : 11,472.16 = 7,274.96 : x
  2. Step 2: Convert to fraction form
    7,648.08/11,472.16 = 7,274.96/x
  3. Step 3: Cross multiply
    7,648.08x = 11,472.16 × 7,274.96
  4. Step 4: Simplify right side
    7,648.08x = 83,459,505.11
  5. Step 5: Solve for x
    x = 83,459,505.11/7,648.08
  6. Step 6: Final answer
    x = 10,912.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.