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Finding the Fourth Proportional to 11,577.58, 17,361.19 and 3,678.62

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Solution

The fourth proportional to 11,577.58, 17,361.19 and 3,678.62 is: 5,516.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577.58 : 17,361.19 = 3,678.62 : x
  2. Step 2: Convert to fraction form
    11,577.58/17,361.19 = 3,678.62/x
  3. Step 3: Cross multiply
    11,577.58x = 17,361.19 × 3,678.62
  4. Step 4: Simplify right side
    11,577.58x = 63,865,117.86
  5. Step 5: Solve for x
    x = 63,865,117.86/11,577.58
  6. Step 6: Final answer
    x = 5,516.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.