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Finding the Fourth Proportional to 10,774.88, 16,160.52 and 2,984.48

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Solution

The fourth proportional to 10,774.88, 16,160.52 and 2,984.48 is: 4,476.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.88 : 16,160.52 = 2,984.48 : x
  2. Step 2: Convert to fraction form
    10,774.88/16,160.52 = 2,984.48/x
  3. Step 3: Cross multiply
    10,774.88x = 16,160.52 × 2,984.48
  4. Step 4: Simplify right side
    10,774.88x = 48,230,748.73
  5. Step 5: Solve for x
    x = 48,230,748.73/10,774.88
  6. Step 6: Final answer
    x = 4,476.22

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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.