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Finding the Fourth Proportional to 11,503.38, 17,255.46 and 3,182.70

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Solution

The fourth proportional to 11,503.38, 17,255.46 and 3,182.70 is: 4,774.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,503.38 : 17,255.46 = 3,182.70 : x
  2. Step 2: Convert to fraction form
    11,503.38/17,255.46 = 3,182.70/x
  3. Step 3: Cross multiply
    11,503.38x = 17,255.46 × 3,182.70
  4. Step 4: Simplify right side
    11,503.38x = 54,918,940.61
  5. Step 5: Solve for x
    x = 54,918,940.61/11,503.38
  6. Step 6: Final answer
    x = 4,774.16

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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.