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Finding the Fourth Proportional to 10,352.46, 14,286.42 and 5,636.74

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Solution

The fourth proportional to 10,352.46, 14,286.42 and 5,636.74 is: 7,778.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.46 : 14,286.42 = 5,636.74 : x
  2. Step 2: Convert to fraction form
    10,352.46/14,286.42 = 5,636.74/x
  3. Step 3: Cross multiply
    10,352.46x = 14,286.42 × 5,636.74
  4. Step 4: Simplify right side
    10,352.46x = 80,528,835.07
  5. Step 5: Solve for x
    x = 80,528,835.07/10,352.46
  6. Step 6: Final answer
    x = 7,778.71

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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.