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Finding the Fourth Proportional to 11,527.72, 17,290.73 and 4,506.44

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Solution

The fourth proportional to 11,527.72, 17,290.73 and 4,506.44 is: 6,759.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,527.72 : 17,290.73 = 4,506.44 : x
  2. Step 2: Convert to fraction form
    11,527.72/17,290.73 = 4,506.44/x
  3. Step 3: Cross multiply
    11,527.72x = 17,290.73 × 4,506.44
  4. Step 4: Simplify right side
    11,527.72x = 77,919,562.11
  5. Step 5: Solve for x
    x = 77,919,562.11/11,527.72
  6. Step 6: Final answer
    x = 6,759.32

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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.