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Finding the Fourth Proportional to 10,352.13, 14,286 and 5,636.44

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Solution

The fourth proportional to 10,352.13, 14,286 and 5,636.44 is: 7,778.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.13 : 14,286 = 5,636.44 : x
  2. Step 2: Convert to fraction form
    10,352.13/14,286 = 5,636.44/x
  3. Step 3: Cross multiply
    10,352.13x = 14,286 × 5,636.44
  4. Step 4: Simplify right side
    10,352.13x = 80,522,181.84
  5. Step 5: Solve for x
    x = 80,522,181.84/10,352.13
  6. Step 6: Final answer
    x = 7,778.32

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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.