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Finding the Fourth Proportional to 10,827, 14,941.26 and 5,859

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Solution

The fourth proportional to 10,827, 14,941.26 and 5,859 is: 8,085.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,827 : 14,941.26 = 5,859 : x
  2. Step 2: Convert to fraction form
    10,827/14,941.26 = 5,859/x
  3. Step 3: Cross multiply
    10,827x = 14,941.26 × 5,859
  4. Step 4: Simplify right side
    10,827x = 87,540,842.34
  5. Step 5: Solve for x
    x = 87,540,842.34/10,827
  6. Step 6: Final answer
    x = 8,085.42

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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.