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Finding the Fourth Proportional to 10,842, 14,962 and 5,874

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Solution

The fourth proportional to 10,842, 14,962 and 5,874 is: 8,106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842 : 14,962 = 5,874 : x
  2. Step 2: Convert to fraction form
    10,842/14,962 = 5,874/x
  3. Step 3: Cross multiply
    10,842x = 14,962 × 5,874
  4. Step 4: Simplify right side
    10,842x = 87,886,788
  5. Step 5: Solve for x
    x = 87,886,788/10,842
  6. Step 6: Final answer
    x = 8,106.14

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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.