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Finding the Fourth Proportional to 11,427.62, 17,142.82 and 4,030.57

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Solution

The fourth proportional to 11,427.62, 17,142.82 and 4,030.57 is: 6,046.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,427.62 : 17,142.82 = 4,030.57 : x
  2. Step 2: Convert to fraction form
    11,427.62/17,142.82 = 4,030.57/x
  3. Step 3: Cross multiply
    11,427.62x = 17,142.82 × 4,030.57
  4. Step 4: Simplify right side
    11,427.62x = 69,095,230.14
  5. Step 5: Solve for x
    x = 69,095,230.14/11,427.62
  6. Step 6: Final answer
    x = 6,046.34

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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.