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Finding the Fourth Proportional to 8,362.24, 11,539.44 and 4,636

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Solution

The fourth proportional to 8,362.24, 11,539.44 and 4,636 is: 6,397.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.24 : 11,539.44 = 4,636 : x
  2. Step 2: Convert to fraction form
    8,362.24/11,539.44 = 4,636/x
  3. Step 3: Cross multiply
    8,362.24x = 11,539.44 × 4,636
  4. Step 4: Simplify right side
    8,362.24x = 53,496,843.84
  5. Step 5: Solve for x
    x = 53,496,843.84/8,362.24
  6. Step 6: Final answer
    x = 6,397.43

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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.