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Finding the Fourth Proportional to 7,581.50, 11,372.28 and 2,109.50

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Solution

The fourth proportional to 7,581.50, 11,372.28 and 2,109.50 is: 3,164.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,581.50 : 11,372.28 = 2,109.50 : x
  2. Step 2: Convert to fraction form
    7,581.50/11,372.28 = 2,109.50/x
  3. Step 3: Cross multiply
    7,581.50x = 11,372.28 × 2,109.50
  4. Step 4: Simplify right side
    7,581.50x = 23,989,824.66
  5. Step 5: Solve for x
    x = 23,989,824.66/7,581.50
  6. Step 6: Final answer
    x = 3,164.26

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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.