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Finding the Fourth Proportional to 11,883.31, 16,397.64 and 6,846.53

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Solution

The fourth proportional to 11,883.31, 16,397.64 and 6,846.53 is: 9,447.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,883.31 : 16,397.64 = 6,846.53 : x
  2. Step 2: Convert to fraction form
    11,883.31/16,397.64 = 6,846.53/x
  3. Step 3: Cross multiply
    11,883.31x = 16,397.64 × 6,846.53
  4. Step 4: Simplify right side
    11,883.31x = 112,266,852.20
  5. Step 5: Solve for x
    x = 112,266,852.20/11,883.31
  6. Step 6: Final answer
    x = 9,447.44

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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.