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Finding the Fourth Proportional to 10,895, 16,342.54 and 2,687

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Solution

The fourth proportional to 10,895, 16,342.54 and 2,687 is: 4,030.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,895 : 16,342.54 = 2,687 : x
  2. Step 2: Convert to fraction form
    10,895/16,342.54 = 2,687/x
  3. Step 3: Cross multiply
    10,895x = 16,342.54 × 2,687
  4. Step 4: Simplify right side
    10,895x = 43,912,404.98
  5. Step 5: Solve for x
    x = 43,912,404.98/10,895
  6. Step 6: Final answer
    x = 4,030.51

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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.