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Finding the Fourth Proportional to 10,352.28, 14,285.73 and 5,636.46

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Solution

The fourth proportional to 10,352.28, 14,285.73 and 5,636.46 is: 7,778.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.28 : 14,285.73 = 5,636.46 : x
  2. Step 2: Convert to fraction form
    10,352.28/14,285.73 = 5,636.46/x
  3. Step 3: Cross multiply
    10,352.28x = 14,285.73 × 5,636.46
  4. Step 4: Simplify right side
    10,352.28x = 80,520,945.72
  5. Step 5: Solve for x
    x = 80,520,945.72/10,352.28
  6. Step 6: Final answer
    x = 7,778.09

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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.