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Finding the Fourth Proportional to 11,852.96, 16,357.24 and 6,817.28

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Solution

The fourth proportional to 11,852.96, 16,357.24 and 6,817.28 is: 9,407.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.96 : 16,357.24 = 6,817.28 : x
  2. Step 2: Convert to fraction form
    11,852.96/16,357.24 = 6,817.28/x
  3. Step 3: Cross multiply
    11,852.96x = 16,357.24 × 6,817.28
  4. Step 4: Simplify right side
    11,852.96x = 111,511,885.11
  5. Step 5: Solve for x
    x = 111,511,885.11/11,852.96
  6. Step 6: Final answer
    x = 9,407.94

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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.