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Finding the Fourth Proportional to 10,575.44, 15,863.10 and 2,678.03

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Solution

The fourth proportional to 10,575.44, 15,863.10 and 2,678.03 is: 4,017.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.44 : 15,863.10 = 2,678.03 : x
  2. Step 2: Convert to fraction form
    10,575.44/15,863.10 = 2,678.03/x
  3. Step 3: Cross multiply
    10,575.44x = 15,863.10 × 2,678.03
  4. Step 4: Simplify right side
    10,575.44x = 42,481,857.69
  5. Step 5: Solve for x
    x = 42,481,857.69/10,575.44
  6. Step 6: Final answer
    x = 4,017.03

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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.