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Finding the Fourth Proportional to 7,223.28, 10,849.32 and 6,815.76

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Solution

The fourth proportional to 7,223.28, 10,849.32 and 6,815.76 is: 10,237.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.28 : 10,849.32 = 6,815.76 : x
  2. Step 2: Convert to fraction form
    7,223.28/10,849.32 = 6,815.76/x
  3. Step 3: Cross multiply
    7,223.28x = 10,849.32 × 6,815.76
  4. Step 4: Simplify right side
    7,223.28x = 73,946,361.28
  5. Step 5: Solve for x
    x = 73,946,361.28/7,223.28
  6. Step 6: Final answer
    x = 10,237.23

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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.