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Finding the Fourth Proportional to 12,534.28, 18,801.44 and 5,137.41

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Solution

The fourth proportional to 12,534.28, 18,801.44 and 5,137.41 is: 7,706.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.28 : 18,801.44 = 5,137.41 : x
  2. Step 2: Convert to fraction form
    12,534.28/18,801.44 = 5,137.41/x
  3. Step 3: Cross multiply
    12,534.28x = 18,801.44 × 5,137.41
  4. Step 4: Simplify right side
    12,534.28x = 96,590,680.18
  5. Step 5: Solve for x
    x = 96,590,680.18/12,534.28
  6. Step 6: Final answer
    x = 7,706.12

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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.