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Finding the Fourth Proportional to 11,397.45, 15,728.77 and 6,361.64

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Solution

The fourth proportional to 11,397.45, 15,728.77 and 6,361.64 is: 8,779.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397.45 : 15,728.77 = 6,361.64 : x
  2. Step 2: Convert to fraction form
    11,397.45/15,728.77 = 6,361.64/x
  3. Step 3: Cross multiply
    11,397.45x = 15,728.77 × 6,361.64
  4. Step 4: Simplify right side
    11,397.45x = 100,060,772.38
  5. Step 5: Solve for x
    x = 100,060,772.38/11,397.45
  6. Step 6: Final answer
    x = 8,779.23

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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.