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Finding the Fourth Proportional to 11,460.78, 17,191.17 and 3,140.87

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Solution

The fourth proportional to 11,460.78, 17,191.17 and 3,140.87 is: 4,711.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,460.78 : 17,191.17 = 3,140.87 : x
  2. Step 2: Convert to fraction form
    11,460.78/17,191.17 = 3,140.87/x
  3. Step 3: Cross multiply
    11,460.78x = 17,191.17 × 3,140.87
  4. Step 4: Simplify right side
    11,460.78x = 53,995,144.16
  5. Step 5: Solve for x
    x = 53,995,144.16/11,460.78
  6. Step 6: Final answer
    x = 4,711.30

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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.