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Finding the Fourth Proportional to 10,143.92, 15,189.90 and 7,019.60

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Solution

The fourth proportional to 10,143.92, 15,189.90 and 7,019.60 is: 10,511.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143.92 : 15,189.90 = 7,019.60 : x
  2. Step 2: Convert to fraction form
    10,143.92/15,189.90 = 7,019.60/x
  3. Step 3: Cross multiply
    10,143.92x = 15,189.90 × 7,019.60
  4. Step 4: Simplify right side
    10,143.92x = 106,627,022.04
  5. Step 5: Solve for x
    x = 106,627,022.04/10,143.92
  6. Step 6: Final answer
    x = 10,511.42

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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.