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Finding the Fourth Proportional to 10,125, 15,194.25 and 3,890.16

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Solution

The fourth proportional to 10,125, 15,194.25 and 3,890.16 is: 5,837.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,125 : 15,194.25 = 3,890.16 : x
  2. Step 2: Convert to fraction form
    10,125/15,194.25 = 3,890.16/x
  3. Step 3: Cross multiply
    10,125x = 15,194.25 × 3,890.16
  4. Step 4: Simplify right side
    10,125x = 59,108,063.58
  5. Step 5: Solve for x
    x = 59,108,063.58/10,125
  6. Step 6: Final answer
    x = 5,837.83

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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.