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Finding the Fourth Proportional to 10,352.49, 14,286.53 and 5,636.78

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Solution

The fourth proportional to 10,352.49, 14,286.53 and 5,636.78 is: 7,778.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.49 : 14,286.53 = 5,636.78 : x
  2. Step 2: Convert to fraction form
    10,352.49/14,286.53 = 5,636.78/x
  3. Step 3: Cross multiply
    10,352.49x = 14,286.53 × 5,636.78
  4. Step 4: Simplify right side
    10,352.49x = 80,529,926.96
  5. Step 5: Solve for x
    x = 80,529,926.96/10,352.49
  6. Step 6: Final answer
    x = 7,778.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.