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Finding the Fourth Proportional to 7,468.73, 11,172.31 and 6,137.50

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Solution

The fourth proportional to 7,468.73, 11,172.31 and 6,137.50 is: 9,180.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.73 : 11,172.31 = 6,137.50 : x
  2. Step 2: Convert to fraction form
    7,468.73/11,172.31 = 6,137.50/x
  3. Step 3: Cross multiply
    7,468.73x = 11,172.31 × 6,137.50
  4. Step 4: Simplify right side
    7,468.73x = 68,570,052.63
  5. Step 5: Solve for x
    x = 68,570,052.63/7,468.73
  6. Step 6: Final answer
    x = 9,180.95

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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.