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Finding the Fourth Proportional to 11,883.12, 16,397.06 and 6,846.94

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Solution

The fourth proportional to 11,883.12, 16,397.06 and 6,846.94 is: 9,447.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,883.12 : 16,397.06 = 6,846.94 : x
  2. Step 2: Convert to fraction form
    11,883.12/16,397.06 = 6,846.94/x
  3. Step 3: Cross multiply
    11,883.12x = 16,397.06 × 6,846.94
  4. Step 4: Simplify right side
    11,883.12x = 112,269,686.00
  5. Step 5: Solve for x
    x = 112,269,686.00/11,883.12
  6. Step 6: Final answer
    x = 9,447.83

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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.