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Finding the Fourth Proportional to 11,660.64, 16,091.20 and 6,355.36

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Solution

The fourth proportional to 11,660.64, 16,091.20 and 6,355.36 is: 8,770.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660.64 : 16,091.20 = 6,355.36 : x
  2. Step 2: Convert to fraction form
    11,660.64/16,091.20 = 6,355.36/x
  3. Step 3: Cross multiply
    11,660.64x = 16,091.20 × 6,355.36
  4. Step 4: Simplify right side
    11,660.64x = 102,265,368.83
  5. Step 5: Solve for x
    x = 102,265,368.83/11,660.64
  6. Step 6: Final answer
    x = 8,770.13

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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.