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Finding the Fourth Proportional to 11,631.68, 16,056.96 and 7,654.88

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Solution

The fourth proportional to 11,631.68, 16,056.96 and 7,654.88 is: 10,567.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,631.68 : 16,056.96 = 7,654.88 : x
  2. Step 2: Convert to fraction form
    11,631.68/16,056.96 = 7,654.88/x
  3. Step 3: Cross multiply
    11,631.68x = 16,056.96 × 7,654.88
  4. Step 4: Simplify right side
    11,631.68x = 122,914,101.96
  5. Step 5: Solve for x
    x = 122,914,101.96/11,631.68
  6. Step 6: Final answer
    x = 10,567.18

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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.