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Finding the Fourth Proportional to 10,293.68, 14,205.09 and 5,817.34

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Solution

The fourth proportional to 10,293.68, 14,205.09 and 5,817.34 is: 8,027.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,293.68 : 14,205.09 = 5,817.34 : x
  2. Step 2: Convert to fraction form
    10,293.68/14,205.09 = 5,817.34/x
  3. Step 3: Cross multiply
    10,293.68x = 14,205.09 × 5,817.34
  4. Step 4: Simplify right side
    10,293.68x = 82,635,838.26
  5. Step 5: Solve for x
    x = 82,635,838.26/10,293.68
  6. Step 6: Final answer
    x = 8,027.82

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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.