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Finding the Fourth Proportional to 7,347.28, 11,022 and 2,152.48

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Solution

The fourth proportional to 7,347.28, 11,022 and 2,152.48 is: 3,229.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,347.28 : 11,022 = 2,152.48 : x
  2. Step 2: Convert to fraction form
    7,347.28/11,022 = 2,152.48/x
  3. Step 3: Cross multiply
    7,347.28x = 11,022 × 2,152.48
  4. Step 4: Simplify right side
    7,347.28x = 23,724,634.56
  5. Step 5: Solve for x
    x = 23,724,634.56/7,347.28
  6. Step 6: Final answer
    x = 3,229.04

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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.