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Finding the Fourth Proportional to 7,395.50, 11,096.50 and 5,438.54

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Solution

The fourth proportional to 7,395.50, 11,096.50 and 5,438.54 is: 8,160.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,395.50 : 11,096.50 = 5,438.54 : x
  2. Step 2: Convert to fraction form
    7,395.50/11,096.50 = 5,438.54/x
  3. Step 3: Cross multiply
    7,395.50x = 11,096.50 × 5,438.54
  4. Step 4: Simplify right side
    7,395.50x = 60,348,759.11
  5. Step 5: Solve for x
    x = 60,348,759.11/7,395.50
  6. Step 6: Final answer
    x = 8,160.20

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Why These Related Problems?

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