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Finding the Fourth Proportional to 10,352.55, 14,286.09 and 5,636.82

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Solution

The fourth proportional to 10,352.55, 14,286.09 and 5,636.82 is: 7,778.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.55 : 14,286.09 = 5,636.82 : x
  2. Step 2: Convert to fraction form
    10,352.55/14,286.09 = 5,636.82/x
  3. Step 3: Cross multiply
    10,352.55x = 14,286.09 × 5,636.82
  4. Step 4: Simplify right side
    10,352.55x = 80,528,117.83
  5. Step 5: Solve for x
    x = 80,528,117.83/10,352.55
  6. Step 6: Final answer
    x = 7,778.58

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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.