Home / 7,569.28-11,352.64-2,096

Finding the Fourth Proportional to 7,569.28, 11,352.64 and 2,096

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Solution

The fourth proportional to 7,569.28, 11,352.64 and 2,096 is: 3,143.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.28 : 11,352.64 = 2,096 : x
  2. Step 2: Convert to fraction form
    7,569.28/11,352.64 = 2,096/x
  3. Step 3: Cross multiply
    7,569.28x = 11,352.64 × 2,096
  4. Step 4: Simplify right side
    7,569.28x = 23,795,133.44
  5. Step 5: Solve for x
    x = 23,795,133.44/7,569.28
  6. Step 6: Final answer
    x = 3,143.65

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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.