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Finding the Fourth Proportional to 10,777.67, 16,164.66 and 2,984.66

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Solution

The fourth proportional to 10,777.67, 16,164.66 and 2,984.66 is: 4,476.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777.67 : 16,164.66 = 2,984.66 : x
  2. Step 2: Convert to fraction form
    10,777.67/16,164.66 = 2,984.66/x
  3. Step 3: Cross multiply
    10,777.67x = 16,164.66 × 2,984.66
  4. Step 4: Simplify right side
    10,777.67x = 48,246,014.12
  5. Step 5: Solve for x
    x = 48,246,014.12/10,777.67
  6. Step 6: Final answer
    x = 4,476.48

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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.