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Finding the Fourth Proportional to 11,461.57, 17,191.78 and 3,141.45

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Solution

The fourth proportional to 11,461.57, 17,191.78 and 3,141.45 is: 4,712.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461.57 : 17,191.78 = 3,141.45 : x
  2. Step 2: Convert to fraction form
    11,461.57/17,191.78 = 3,141.45/x
  3. Step 3: Cross multiply
    11,461.57x = 17,191.78 × 3,141.45
  4. Step 4: Simplify right side
    11,461.57x = 54,007,109.43
  5. Step 5: Solve for x
    x = 54,007,109.43/11,461.57
  6. Step 6: Final answer
    x = 4,712.02

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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.