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Finding the Fourth Proportional to 10,352.51, 14,286.47 and 5,636.80

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Solution

The fourth proportional to 10,352.51, 14,286.47 and 5,636.80 is: 7,778.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.51 : 14,286.47 = 5,636.80 : x
  2. Step 2: Convert to fraction form
    10,352.51/14,286.47 = 5,636.80/x
  3. Step 3: Cross multiply
    10,352.51x = 14,286.47 × 5,636.80
  4. Step 4: Simplify right side
    10,352.51x = 80,529,974.10
  5. Step 5: Solve for x
    x = 80,529,974.10/10,352.51
  6. Step 6: Final answer
    x = 7,778.79

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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.