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Finding the Fourth Proportional to 11,394.74, 17,090.74 and 3,074.12

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Solution

The fourth proportional to 11,394.74, 17,090.74 and 3,074.12 is: 4,610.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,394.74 : 17,090.74 = 3,074.12 : x
  2. Step 2: Convert to fraction form
    11,394.74/17,090.74 = 3,074.12/x
  3. Step 3: Cross multiply
    11,394.74x = 17,090.74 × 3,074.12
  4. Step 4: Simplify right side
    11,394.74x = 52,538,985.65
  5. Step 5: Solve for x
    x = 52,538,985.65/11,394.74
  6. Step 6: Final answer
    x = 4,610.81

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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.