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Finding the Fourth Proportional to 11,852.01, 16,355.74 and 6,817.20

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Solution

The fourth proportional to 11,852.01, 16,355.74 and 6,817.20 is: 9,407.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.01 : 16,355.74 = 6,817.20 : x
  2. Step 2: Convert to fraction form
    11,852.01/16,355.74 = 6,817.20/x
  3. Step 3: Cross multiply
    11,852.01x = 16,355.74 × 6,817.20
  4. Step 4: Simplify right side
    11,852.01x = 111,500,350.73
  5. Step 5: Solve for x
    x = 111,500,350.73/11,852.01
  6. Step 6: Final answer
    x = 9,407.72

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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.