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Finding the Fourth Proportional to 12,078.75, 18,125.42 and 5,153.25

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Solution

The fourth proportional to 12,078.75, 18,125.42 and 5,153.25 is: 7,732.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078.75 : 18,125.42 = 5,153.25 : x
  2. Step 2: Convert to fraction form
    12,078.75/18,125.42 = 5,153.25/x
  3. Step 3: Cross multiply
    12,078.75x = 18,125.42 × 5,153.25
  4. Step 4: Simplify right side
    12,078.75x = 93,404,820.62
  5. Step 5: Solve for x
    x = 93,404,820.62/12,078.75
  6. Step 6: Final answer
    x = 7,732.99

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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.