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Finding the Fourth Proportional to 7,429.32, 11,144.01 and 1,882.68

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Solution

The fourth proportional to 7,429.32, 11,144.01 and 1,882.68 is: 2,824.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,429.32 : 11,144.01 = 1,882.68 : x
  2. Step 2: Convert to fraction form
    7,429.32/11,144.01 = 1,882.68/x
  3. Step 3: Cross multiply
    7,429.32x = 11,144.01 × 1,882.68
  4. Step 4: Simplify right side
    7,429.32x = 20,980,604.75
  5. Step 5: Solve for x
    x = 20,980,604.75/7,429.32
  6. Step 6: Final answer
    x = 2,824.03

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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.