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Finding the Fourth Proportional to 8,253.24, 12,383.10 and 3,633

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Solution

The fourth proportional to 8,253.24, 12,383.10 and 3,633 is: 5,450.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,253.24 : 12,383.10 = 3,633 : x
  2. Step 2: Convert to fraction form
    8,253.24/12,383.10 = 3,633/x
  3. Step 3: Cross multiply
    8,253.24x = 12,383.10 × 3,633
  4. Step 4: Simplify right side
    8,253.24x = 44,987,802.30
  5. Step 5: Solve for x
    x = 44,987,802.30/8,253.24
  6. Step 6: Final answer
    x = 5,450.93

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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.