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Finding the Fourth Proportional to 11,527.85, 17,292.06 and 4,132.82

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Solution

The fourth proportional to 11,527.85, 17,292.06 and 4,132.82 is: 6,199.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,527.85 : 17,292.06 = 4,132.82 : x
  2. Step 2: Convert to fraction form
    11,527.85/17,292.06 = 4,132.82/x
  3. Step 3: Cross multiply
    11,527.85x = 17,292.06 × 4,132.82
  4. Step 4: Simplify right side
    11,527.85x = 71,464,971.41
  5. Step 5: Solve for x
    x = 71,464,971.41/11,527.85
  6. Step 6: Final answer
    x = 6,199.33

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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.