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Finding the Fourth Proportional to 11,463.08, 17,194.02 and 3,142.95

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Solution

The fourth proportional to 11,463.08, 17,194.02 and 3,142.95 is: 4,714.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463.08 : 17,194.02 = 3,142.95 : x
  2. Step 2: Convert to fraction form
    11,463.08/17,194.02 = 3,142.95/x
  3. Step 3: Cross multiply
    11,463.08x = 17,194.02 × 3,142.95
  4. Step 4: Simplify right side
    11,463.08x = 54,039,945.16
  5. Step 5: Solve for x
    x = 54,039,945.16/11,463.08
  6. Step 6: Final answer
    x = 4,714.26

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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.