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Finding the Fourth Proportional to 11,460.14, 17,190.22 and 3,140.23

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Solution

The fourth proportional to 11,460.14, 17,190.22 and 3,140.23 is: 4,710.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,460.14 : 17,190.22 = 3,140.23 : x
  2. Step 2: Convert to fraction form
    11,460.14/17,190.22 = 3,140.23/x
  3. Step 3: Cross multiply
    11,460.14x = 17,190.22 × 3,140.23
  4. Step 4: Simplify right side
    11,460.14x = 53,981,244.55
  5. Step 5: Solve for x
    x = 53,981,244.55/11,460.14
  6. Step 6: Final answer
    x = 4,710.35

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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.