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Finding the Fourth Proportional to 7,076.44, 10,614.68 and 1,882.32

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Solution

The fourth proportional to 7,076.44, 10,614.68 and 1,882.32 is: 2,823.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.44 : 10,614.68 = 1,882.32 : x
  2. Step 2: Convert to fraction form
    7,076.44/10,614.68 = 1,882.32/x
  3. Step 3: Cross multiply
    7,076.44x = 10,614.68 × 1,882.32
  4. Step 4: Simplify right side
    7,076.44x = 19,980,161.97
  5. Step 5: Solve for x
    x = 19,980,161.97/7,076.44
  6. Step 6: Final answer
    x = 2,823.48

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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.