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Finding the Fourth Proportional to 8,361.24, 11,538.06 and 4,635

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Solution

The fourth proportional to 8,361.24, 11,538.06 and 4,635 is: 6,396.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361.24 : 11,538.06 = 4,635 : x
  2. Step 2: Convert to fraction form
    8,361.24/11,538.06 = 4,635/x
  3. Step 3: Cross multiply
    8,361.24x = 11,538.06 × 4,635
  4. Step 4: Simplify right side
    8,361.24x = 53,478,908.10
  5. Step 5: Solve for x
    x = 53,478,908.10/8,361.24
  6. Step 6: Final answer
    x = 6,396.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.