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Finding the Fourth Proportional to 10,615, 15,928.34 and 5,143

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Solution

The fourth proportional to 10,615, 15,928.34 and 5,143 is: 7,717.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615 : 15,928.34 = 5,143 : x
  2. Step 2: Convert to fraction form
    10,615/15,928.34 = 5,143/x
  3. Step 3: Cross multiply
    10,615x = 15,928.34 × 5,143
  4. Step 4: Simplify right side
    10,615x = 81,919,452.62
  5. Step 5: Solve for x
    x = 81,919,452.62/10,615
  6. Step 6: Final answer
    x = 7,717.33

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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.