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Finding the Fourth Proportional to 11,241, 16,849.98 and 4,671

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Solution

The fourth proportional to 11,241, 16,849.98 and 4,671 is: 7,001.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,241 : 16,849.98 = 4,671 : x
  2. Step 2: Convert to fraction form
    11,241/16,849.98 = 4,671/x
  3. Step 3: Cross multiply
    11,241x = 16,849.98 × 4,671
  4. Step 4: Simplify right side
    11,241x = 78,706,256.58
  5. Step 5: Solve for x
    x = 78,706,256.58/11,241
  6. Step 6: Final answer
    x = 7,001.71

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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.