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Finding the Fourth Proportional to 10,012.84, 13,814.34 and 5,817.64

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Solution

The fourth proportional to 10,012.84, 13,814.34 and 5,817.64 is: 8,026.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.84 : 13,814.34 = 5,817.64 : x
  2. Step 2: Convert to fraction form
    10,012.84/13,814.34 = 5,817.64/x
  3. Step 3: Cross multiply
    10,012.84x = 13,814.34 × 5,817.64
  4. Step 4: Simplify right side
    10,012.84x = 80,366,856.96
  5. Step 5: Solve for x
    x = 80,366,856.96/10,012.84
  6. Step 6: Final answer
    x = 8,026.38

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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.