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Finding the Fourth Proportional to 10,162.82, 14,024.36 and 5,686.64

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Solution

The fourth proportional to 10,162.82, 14,024.36 and 5,686.64 is: 7,847.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,162.82 : 14,024.36 = 5,686.64 : x
  2. Step 2: Convert to fraction form
    10,162.82/14,024.36 = 5,686.64/x
  3. Step 3: Cross multiply
    10,162.82x = 14,024.36 × 5,686.64
  4. Step 4: Simplify right side
    10,162.82x = 79,751,486.55
  5. Step 5: Solve for x
    x = 79,751,486.55/10,162.82
  6. Step 6: Final answer
    x = 7,847.38

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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.