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Finding the Fourth Proportional to 11,819.28, 17,724.60 and 4,890

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Solution

The fourth proportional to 11,819.28, 17,724.60 and 4,890 is: 7,333.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,819.28 : 17,724.60 = 4,890 : x
  2. Step 2: Convert to fraction form
    11,819.28/17,724.60 = 4,890/x
  3. Step 3: Cross multiply
    11,819.28x = 17,724.60 × 4,890
  4. Step 4: Simplify right side
    11,819.28x = 86,673,294
  5. Step 5: Solve for x
    x = 86,673,294/11,819.28
  6. Step 6: Final answer
    x = 7,333.21

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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.