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Finding the Fourth Proportional to 11,530, 17,291.85 and 4,133.08

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Solution

The fourth proportional to 11,530, 17,291.85 and 4,133.08 is: 6,198.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,530 : 17,291.85 = 4,133.08 : x
  2. Step 2: Convert to fraction form
    11,530/17,291.85 = 4,133.08/x
  3. Step 3: Cross multiply
    11,530x = 17,291.85 × 4,133.08
  4. Step 4: Simplify right side
    11,530x = 71,468,599.40
  5. Step 5: Solve for x
    x = 71,468,599.40/11,530
  6. Step 6: Final answer
    x = 6,198.49

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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.