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Finding the Fourth Proportional to 10,273, 14,177.38 and 5,857

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Solution

The fourth proportional to 10,273, 14,177.38 and 5,857 is: 8,083.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,273 : 14,177.38 = 5,857 : x
  2. Step 2: Convert to fraction form
    10,273/14,177.38 = 5,857/x
  3. Step 3: Cross multiply
    10,273x = 14,177.38 × 5,857
  4. Step 4: Simplify right side
    10,273x = 83,036,914.66
  5. Step 5: Solve for x
    x = 83,036,914.66/10,273
  6. Step 6: Final answer
    x = 8,083.02

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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.