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Finding the Fourth Proportional to 10,895, 15,035.22 and 5,927

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Solution

The fourth proportional to 10,895, 15,035.22 and 5,927 is: 8,179.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,895 : 15,035.22 = 5,927 : x
  2. Step 2: Convert to fraction form
    10,895/15,035.22 = 5,927/x
  3. Step 3: Cross multiply
    10,895x = 15,035.22 × 5,927
  4. Step 4: Simplify right side
    10,895x = 89,113,748.94
  5. Step 5: Solve for x
    x = 89,113,748.94/10,895
  6. Step 6: Final answer
    x = 8,179.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.