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Finding the Fourth Proportional to 10,651.04, 15,974.36 and 2,858

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Solution

The fourth proportional to 10,651.04, 15,974.36 and 2,858 is: 4,286.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,651.04 : 15,974.36 = 2,858 : x
  2. Step 2: Convert to fraction form
    10,651.04/15,974.36 = 2,858/x
  3. Step 3: Cross multiply
    10,651.04x = 15,974.36 × 2,858
  4. Step 4: Simplify right side
    10,651.04x = 45,654,720.88
  5. Step 5: Solve for x
    x = 45,654,720.88/10,651.04
  6. Step 6: Final answer
    x = 4,286.41

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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.