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Finding the Fourth Proportional to 11,646.95, 17,473.14 and 3,855.75

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Solution

The fourth proportional to 11,646.95, 17,473.14 and 3,855.75 is: 5,784.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.95 : 17,473.14 = 3,855.75 : x
  2. Step 2: Convert to fraction form
    11,646.95/17,473.14 = 3,855.75/x
  3. Step 3: Cross multiply
    11,646.95x = 17,473.14 × 3,855.75
  4. Step 4: Simplify right side
    11,646.95x = 67,372,059.56
  5. Step 5: Solve for x
    x = 67,372,059.56/11,646.95
  6. Step 6: Final answer
    x = 5,784.53

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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.