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Finding the Fourth Proportional to 11,918.42, 17,878.32 and 4,522.72

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Solution

The fourth proportional to 11,918.42, 17,878.32 and 4,522.72 is: 6,784.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,918.42 : 17,878.32 = 4,522.72 : x
  2. Step 2: Convert to fraction form
    11,918.42/17,878.32 = 4,522.72/x
  3. Step 3: Cross multiply
    11,918.42x = 17,878.32 × 4,522.72
  4. Step 4: Simplify right side
    11,918.42x = 80,858,624.26
  5. Step 5: Solve for x
    x = 80,858,624.26/11,918.42
  6. Step 6: Final answer
    x = 6,784.34

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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.