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Finding the Fourth Proportional to 11,760.12, 17,646.24 and 7,814.09

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Solution

The fourth proportional to 11,760.12, 17,646.24 and 7,814.09 is: 11,725.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760.12 : 17,646.24 = 7,814.09 : x
  2. Step 2: Convert to fraction form
    11,760.12/17,646.24 = 7,814.09/x
  3. Step 3: Cross multiply
    11,760.12x = 17,646.24 × 7,814.09
  4. Step 4: Simplify right side
    11,760.12x = 137,889,219.29
  5. Step 5: Solve for x
    x = 137,889,219.29/11,760.12
  6. Step 6: Final answer
    x = 11,725.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.