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Finding the Fourth Proportional to 11,855.33, 17,784 and 3,090.23

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Solution

The fourth proportional to 11,855.33, 17,784 and 3,090.23 is: 4,635.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.33 : 17,784 = 3,090.23 : x
  2. Step 2: Convert to fraction form
    11,855.33/17,784 = 3,090.23/x
  3. Step 3: Cross multiply
    11,855.33x = 17,784 × 3,090.23
  4. Step 4: Simplify right side
    11,855.33x = 54,956,561.40
  5. Step 5: Solve for x
    x = 54,956,561.40/11,855.33
  6. Step 6: Final answer
    x = 4,635.60

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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.