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Finding the Fourth Proportional to 10,135.12, 15,174.69 and 5,194.12

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Solution

The fourth proportional to 10,135.12, 15,174.69 and 5,194.12 is: 7,776.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135.12 : 15,174.69 = 5,194.12 : x
  2. Step 2: Convert to fraction form
    10,135.12/15,174.69 = 5,194.12/x
  3. Step 3: Cross multiply
    10,135.12x = 15,174.69 × 5,194.12
  4. Step 4: Simplify right side
    10,135.12x = 78,819,160.82
  5. Step 5: Solve for x
    x = 78,819,160.82/10,135.12
  6. Step 6: Final answer
    x = 7,776.84

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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.