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Finding the Fourth Proportional to 5,192.11, 7,165.16 and 2,834.11

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Solution

The fourth proportional to 5,192.11, 7,165.16 and 2,834.11 is: 3,911.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.11 : 7,165.16 = 2,834.11 : x
  2. Step 2: Convert to fraction form
    5,192.11/7,165.16 = 2,834.11/x
  3. Step 3: Cross multiply
    5,192.11x = 7,165.16 × 2,834.11
  4. Step 4: Simplify right side
    5,192.11x = 20,306,851.61
  5. Step 5: Solve for x
    x = 20,306,851.61/5,192.11
  6. Step 6: Final answer
    x = 3,911.10

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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.