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Finding the Fourth Proportional to 10,358.20, 15,548.10 and 5,984.20

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Solution

The fourth proportional to 10,358.20, 15,548.10 and 5,984.20 is: 8,982.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.20 : 15,548.10 = 5,984.20 : x
  2. Step 2: Convert to fraction form
    10,358.20/15,548.10 = 5,984.20/x
  3. Step 3: Cross multiply
    10,358.20x = 15,548.10 × 5,984.20
  4. Step 4: Simplify right side
    10,358.20x = 93,042,940.02
  5. Step 5: Solve for x
    x = 93,042,940.02/10,358.20
  6. Step 6: Final answer
    x = 8,982.54

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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.