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Finding the Fourth Proportional to 10,731.40, 16,097.10 and 2,940.20

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Solution

The fourth proportional to 10,731.40, 16,097.10 and 2,940.20 is: 4,410.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,731.40 : 16,097.10 = 2,940.20 : x
  2. Step 2: Convert to fraction form
    10,731.40/16,097.10 = 2,940.20/x
  3. Step 3: Cross multiply
    10,731.40x = 16,097.10 × 2,940.20
  4. Step 4: Simplify right side
    10,731.40x = 47,328,693.42
  5. Step 5: Solve for x
    x = 47,328,693.42/10,731.40
  6. Step 6: Final answer
    x = 4,410.30

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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.