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Finding the Fourth Proportional to 10,094.70, 15,137.73 and 3,169.74

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Solution

The fourth proportional to 10,094.70, 15,137.73 and 3,169.74 is: 4,753.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094.70 : 15,137.73 = 3,169.74 : x
  2. Step 2: Convert to fraction form
    10,094.70/15,137.73 = 3,169.74/x
  3. Step 3: Cross multiply
    10,094.70x = 15,137.73 × 3,169.74
  4. Step 4: Simplify right side
    10,094.70x = 47,982,668.29
  5. Step 5: Solve for x
    x = 47,982,668.29/10,094.70
  6. Step 6: Final answer
    x = 4,753.25

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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.