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Finding the Fourth Proportional to 10,119.04, 15,180.18 and 3,193

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Solution

The fourth proportional to 10,119.04, 15,180.18 and 3,193 is: 4,790.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,119.04 : 15,180.18 = 3,193 : x
  2. Step 2: Convert to fraction form
    10,119.04/15,180.18 = 3,193/x
  3. Step 3: Cross multiply
    10,119.04x = 15,180.18 × 3,193
  4. Step 4: Simplify right side
    10,119.04x = 48,470,314.74
  5. Step 5: Solve for x
    x = 48,470,314.74/10,119.04
  6. Step 6: Final answer
    x = 4,790.01

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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.