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Finding the Fourth Proportional to 10,220.16, 14,105.19 and 5,744.34

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Solution

The fourth proportional to 10,220.16, 14,105.19 and 5,744.34 is: 7,927.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,220.16 : 14,105.19 = 5,744.34 : x
  2. Step 2: Convert to fraction form
    10,220.16/14,105.19 = 5,744.34/x
  3. Step 3: Cross multiply
    10,220.16x = 14,105.19 × 5,744.34
  4. Step 4: Simplify right side
    10,220.16x = 81,025,007.12
  5. Step 5: Solve for x
    x = 81,025,007.12/10,220.16
  6. Step 6: Final answer
    x = 7,927.96

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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.