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Finding the Fourth Proportional to 10,351.68, 14,284.86 and 5,635.96

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Solution

The fourth proportional to 10,351.68, 14,284.86 and 5,635.96 is: 7,777.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,351.68 : 14,284.86 = 5,635.96 : x
  2. Step 2: Convert to fraction form
    10,351.68/14,284.86 = 5,635.96/x
  3. Step 3: Cross multiply
    10,351.68x = 14,284.86 × 5,635.96
  4. Step 4: Simplify right side
    10,351.68x = 80,508,899.57
  5. Step 5: Solve for x
    x = 80,508,899.57/10,351.68
  6. Step 6: Final answer
    x = 7,777.38

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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.