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Finding the Fourth Proportional to 10,352.37, 14,286.33 and 5,636.64

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Solution

The fourth proportional to 10,352.37, 14,286.33 and 5,636.64 is: 7,778.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.37 : 14,286.33 = 5,636.64 : x
  2. Step 2: Convert to fraction form
    10,352.37/14,286.33 = 5,636.64/x
  3. Step 3: Cross multiply
    10,352.37x = 14,286.33 × 5,636.64
  4. Step 4: Simplify right side
    10,352.37x = 80,526,899.13
  5. Step 5: Solve for x
    x = 80,526,899.13/10,352.37
  6. Step 6: Final answer
    x = 7,778.60

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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.