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Finding the Fourth Proportional to 11,760.68, 17,646.69 and 5,837.96

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Solution

The fourth proportional to 11,760.68, 17,646.69 and 5,837.96 is: 8,759.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760.68 : 17,646.69 = 5,837.96 : x
  2. Step 2: Convert to fraction form
    11,760.68/17,646.69 = 5,837.96/x
  3. Step 3: Cross multiply
    11,760.68x = 17,646.69 × 5,837.96
  4. Step 4: Simplify right side
    11,760.68x = 103,020,582.12
  5. Step 5: Solve for x
    x = 103,020,582.12/11,760.68
  6. Step 6: Final answer
    x = 8,759.75

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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.