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Finding the Fourth Proportional to 10,120.04, 15,180.60 and 3,194

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Solution

The fourth proportional to 10,120.04, 15,180.60 and 3,194 is: 4,791.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,120.04 : 15,180.60 = 3,194 : x
  2. Step 2: Convert to fraction form
    10,120.04/15,180.60 = 3,194/x
  3. Step 3: Cross multiply
    10,120.04x = 15,180.60 × 3,194
  4. Step 4: Simplify right side
    10,120.04x = 48,486,836.40
  5. Step 5: Solve for x
    x = 48,486,836.40/10,120.04
  6. Step 6: Final answer
    x = 4,791.17

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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.