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Finding the Fourth Proportional to 6,842.16, 10,263.42 and 3,553.20

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Solution

The fourth proportional to 6,842.16, 10,263.42 and 3,553.20 is: 5,329.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.16 : 10,263.42 = 3,553.20 : x
  2. Step 2: Convert to fraction form
    6,842.16/10,263.42 = 3,553.20/x
  3. Step 3: Cross multiply
    6,842.16x = 10,263.42 × 3,553.20
  4. Step 4: Simplify right side
    6,842.16x = 36,467,983.94
  5. Step 5: Solve for x
    x = 36,467,983.94/6,842.16
  6. Step 6: Final answer
    x = 5,329.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.