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Finding the Fourth Proportional to 10,643.06, 14,687.46 and 5,927.38

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Solution

The fourth proportional to 10,643.06, 14,687.46 and 5,927.38 is: 8,179.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.06 : 14,687.46 = 5,927.38 : x
  2. Step 2: Convert to fraction form
    10,643.06/14,687.46 = 5,927.38/x
  3. Step 3: Cross multiply
    10,643.06x = 14,687.46 × 5,927.38
  4. Step 4: Simplify right side
    10,643.06x = 87,058,119.94
  5. Step 5: Solve for x
    x = 87,058,119.94/10,643.06
  6. Step 6: Final answer
    x = 8,179.80

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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.