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Finding the Fourth Proportional to 8,232.71, 11,361.41 and 5,045.38

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Solution

The fourth proportional to 8,232.71, 11,361.41 and 5,045.38 is: 6,962.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.71 : 11,361.41 = 5,045.38 : x
  2. Step 2: Convert to fraction form
    8,232.71/11,361.41 = 5,045.38/x
  3. Step 3: Cross multiply
    8,232.71x = 11,361.41 × 5,045.38
  4. Step 4: Simplify right side
    8,232.71x = 57,322,675.41
  5. Step 5: Solve for x
    x = 57,322,675.41/8,232.71
  6. Step 6: Final answer
    x = 6,962.80

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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.