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Finding the Fourth Proportional to 11,361.38, 15,678.53 and 6,325.59

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Solution

The fourth proportional to 11,361.38, 15,678.53 and 6,325.59 is: 8,729.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,361.38 : 15,678.53 = 6,325.59 : x
  2. Step 2: Convert to fraction form
    11,361.38/15,678.53 = 6,325.59/x
  3. Step 3: Cross multiply
    11,361.38x = 15,678.53 × 6,325.59
  4. Step 4: Simplify right side
    11,361.38x = 99,175,952.58
  5. Step 5: Solve for x
    x = 99,175,952.58/11,361.38
  6. Step 6: Final answer
    x = 8,729.22

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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.