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Finding the Fourth Proportional to 7,113.57, 10,669.43 and 2,182.80

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Solution

The fourth proportional to 7,113.57, 10,669.43 and 2,182.80 is: 3,273.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.57 : 10,669.43 = 2,182.80 : x
  2. Step 2: Convert to fraction form
    7,113.57/10,669.43 = 2,182.80/x
  3. Step 3: Cross multiply
    7,113.57x = 10,669.43 × 2,182.80
  4. Step 4: Simplify right side
    7,113.57x = 23,289,231.80
  5. Step 5: Solve for x
    x = 23,289,231.80/7,113.57
  6. Step 6: Final answer
    x = 3,273.92

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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.