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Finding the Fourth Proportional to 11,527.01, 17,293.12 and 3,522.50

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Solution

The fourth proportional to 11,527.01, 17,293.12 and 3,522.50 is: 5,284.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,527.01 : 17,293.12 = 3,522.50 : x
  2. Step 2: Convert to fraction form
    11,527.01/17,293.12 = 3,522.50/x
  3. Step 3: Cross multiply
    11,527.01x = 17,293.12 × 3,522.50
  4. Step 4: Simplify right side
    11,527.01x = 60,914,971.97
  5. Step 5: Solve for x
    x = 60,914,971.97/11,527.01
  6. Step 6: Final answer
    x = 5,284.54

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Why These Related Problems?

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