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Finding the Fourth Proportional to 10,351.96, 14,285.76 and 5,636.28

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Solution

The fourth proportional to 10,351.96, 14,285.76 and 5,636.28 is: 7,778.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,351.96 : 14,285.76 = 5,636.28 : x
  2. Step 2: Convert to fraction form
    10,351.96/14,285.76 = 5,636.28/x
  3. Step 3: Cross multiply
    10,351.96x = 14,285.76 × 5,636.28
  4. Step 4: Simplify right side
    10,351.96x = 80,518,471.94
  5. Step 5: Solve for x
    x = 80,518,471.94/10,351.96
  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.