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Finding the Fourth Proportional to 12,463.11, 17,194.83 and 7,085

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Solution

The fourth proportional to 12,463.11, 17,194.83 and 7,085 is: 9,774.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,463.11 : 17,194.83 = 7,085 : x
  2. Step 2: Convert to fraction form
    12,463.11/17,194.83 = 7,085/x
  3. Step 3: Cross multiply
    12,463.11x = 17,194.83 × 7,085
  4. Step 4: Simplify right side
    12,463.11x = 121,825,370.55
  5. Step 5: Solve for x
    x = 121,825,370.55/12,463.11
  6. Step 6: Final answer
    x = 9,774.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.