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Finding the Fourth Proportional to 11,957.76, 17,937.32 and 3,638.05

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Solution

The fourth proportional to 11,957.76, 17,937.32 and 3,638.05 is: 5,457.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957.76 : 17,937.32 = 3,638.05 : x
  2. Step 2: Convert to fraction form
    11,957.76/17,937.32 = 3,638.05/x
  3. Step 3: Cross multiply
    11,957.76x = 17,937.32 × 3,638.05
  4. Step 4: Simplify right side
    11,957.76x = 65,256,867.03
  5. Step 5: Solve for x
    x = 65,256,867.03/11,957.76
  6. Step 6: Final answer
    x = 5,457.28

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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.