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Finding the Fourth Proportional to 8,771.83, 12,105.11 and 4,943.16

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Solution

The fourth proportional to 8,771.83, 12,105.11 and 4,943.16 is: 6,821.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.83 : 12,105.11 = 4,943.16 : x
  2. Step 2: Convert to fraction form
    8,771.83/12,105.11 = 4,943.16/x
  3. Step 3: Cross multiply
    8,771.83x = 12,105.11 × 4,943.16
  4. Step 4: Simplify right side
    8,771.83x = 59,837,507.91
  5. Step 5: Solve for x
    x = 59,837,507.91/8,771.83
  6. Step 6: Final answer
    x = 6,821.56

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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.