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Finding the Fourth Proportional to 10,796.48, 16,200.92 and 4,556

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Solution

The fourth proportional to 10,796.48, 16,200.92 and 4,556 is: 6,836.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,796.48 : 16,200.92 = 4,556 : x
  2. Step 2: Convert to fraction form
    10,796.48/16,200.92 = 4,556/x
  3. Step 3: Cross multiply
    10,796.48x = 16,200.92 × 4,556
  4. Step 4: Simplify right side
    10,796.48x = 73,811,391.52
  5. Step 5: Solve for x
    x = 73,811,391.52/10,796.48
  6. Step 6: Final answer
    x = 6,836.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.