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Finding the Fourth Proportional to 10,769.54, 16,155.23 and 2,978.33

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Solution

The fourth proportional to 10,769.54, 16,155.23 and 2,978.33 is: 4,467.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,769.54 : 16,155.23 = 2,978.33 : x
  2. Step 2: Convert to fraction form
    10,769.54/16,155.23 = 2,978.33/x
  3. Step 3: Cross multiply
    10,769.54x = 16,155.23 × 2,978.33
  4. Step 4: Simplify right side
    10,769.54x = 48,115,510.50
  5. Step 5: Solve for x
    x = 48,115,510.50/10,769.54
  6. Step 6: Final answer
    x = 4,467.74

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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.