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Finding the Fourth Proportional to 11,470.18, 17,202.92 and 5,228.42

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Solution

The fourth proportional to 11,470.18, 17,202.92 and 5,228.42 is: 7,841.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.18 : 17,202.92 = 5,228.42 : x
  2. Step 2: Convert to fraction form
    11,470.18/17,202.92 = 5,228.42/x
  3. Step 3: Cross multiply
    11,470.18x = 17,202.92 × 5,228.42
  4. Step 4: Simplify right side
    11,470.18x = 89,944,090.99
  5. Step 5: Solve for x
    x = 89,944,090.99/11,470.18
  6. Step 6: Final answer
    x = 7,841.56

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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.