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Finding the Fourth Proportional to 10,416.72, 14,375.44 and 5,701

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Solution

The fourth proportional to 10,416.72, 14,375.44 and 5,701 is: 7,867.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.72 : 14,375.44 = 5,701 : x
  2. Step 2: Convert to fraction form
    10,416.72/14,375.44 = 5,701/x
  3. Step 3: Cross multiply
    10,416.72x = 14,375.44 × 5,701
  4. Step 4: Simplify right side
    10,416.72x = 81,954,383.44
  5. Step 5: Solve for x
    x = 81,954,383.44/10,416.72
  6. Step 6: Final answer
    x = 7,867.58

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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.